1. Lecture Notes On General Relativity Has more than 50 short essays, with equations, explaining the concepts of general relativity. Includes a message board, a chat room and links. http://pancake.uchicago.edu/~carroll/notes

Lecture Notes on General Relativity Sean M. Carroll (gravitational waves disturbing a black hole, from NCSA These lecture notes are a lightly edited version of the ones I handed out while teaching Physics 8.962, the graduate course in General Relativity at MIT , during Spring 1996. Each of the chapters is available here as uncompressed postscript. (Need a postscript previewer ?) Constructive comments and general flattery may be sent to me via the address below. Dates refer to the last nontrivial modification of the corresponding file (fixing typos doesn't count). The notes as a whole are available as gr-qc/9712019 NEWS! I'm working right now on revising and expanding these notes into an honest textbook: Spacetime and Geometry: An Introduction to General Relativity , to be published in 2003 by Addison Wesley. The notes as they are will always be here for free. The book version will have added material, some improved and reorganized presentations, and nice features like an index. Please let me know if you've gone through the notes and have suggestions I should incorporate into the book. If you don't like postscript, the notes are now

2. Relativity On The World Wide Web The purpose of these pages is to promote the appreciation, understanding,and applications of special and general relativity. Here http://math.ucr.edu/home/baez/relativity.html

Relativity on the World Wide Web Original by Chris Hillman; maintained by John Baez The evolving event horizon during the axisymmetric merger of two equal mass black holes (simulation by the Binary Black Hole Grand Challenge Alliance) Welcome! The purpose of these pages is to promote the appreciation and understanding of the special and general theories of relativity by providing links to on-line scientifically accurate educational resources aimed at a variety of audiences, including popular science sites (places to go if you don't want to see any scary math), visualization sites , (places to go if you just want to see some truly fabulous pictures with some genuine scientific content), web tutorials on relativity theory (just the thing if you're not yet sure you want to really buckle down and study this stuff), observational and experimental evidence bearing on relativity theory, including fantastically beautiful astronomical images, a discussion of some specific scientifically inaccurate claims about cosmology and general relativity, formal coursework, including full length lecture notes (

3. NCSA/LCA-Potsdam-WashU International Numerical Relativity Group Home Page general relativity a very weird world http://jean-luc.ncsa.uiuc.edu/

Potsdam/Germany Mirror ] [Champaign/US Mirror] NCSA/LCA Potsdam WashU International Numerical Relativity Group Computing Resources for the AEI Numerical Relativity Group Welcome People Papers Projects Movies Exhibits Codes Our international group uses supercomputers to study black holes, gravitational waves, and other phenomena predicted by Einstein's Theory of General Relativity. Our WWW servers are an integral part of our research efforts. Our group is the result of a close collaboration between members of the Laboratory for Computational Astrophysics at the National Center for Supercomupting Applications in Champaign-Urbana Illinois, the Washington University Relativity Group in St. Louis Missouri, and the in Potsdam, Germany. Here you can find information on group projects, members, publications, collaborations, and much, much more. Enjoy our Server! Keywords for this server : Numerical Relativity, General Relativity, Einstein, Astrophysics, Black Holes, Gravitational Waves, Relativistic Hydrodynamics, Neutron Stars, Hyperbolic and Elliptic PDEs, Parallel Computing, Scientific Visualization. Search Astronomylinks for links: provided by astronomylinks.com

4. Gr This is bunch of interconnected web pages that serve as an informal introduction to general relativity .Category Science Physics Relativity Courses and Tutorials......general relativity Tutorial. John Baez. This is bunch of interconnected webpages that serve as an informal introduction to general relativity. http://math.ucr.edu/home/baez/gr/gr.html

General Relativity Tutorial John Baez This is bunch of interconnected web pages that serve as an informal introduction to general relativity. The goal is to demystify general relativity and get across the key ideas without big complicated calculations. You can begin by reading a Short Course Outline Clicking on any of the underlined key concepts will then take you to the corresponding point in a more detailed Long Course Outline In the long course outline, clicking on any underlined key concept will take you to a still more detailed exposition of that concept. Alternatively, you can begin to read some of the adventures of Oz and the Wizard However, unless you are already familiar with general relativity, to understand these adventures you will need to look at the other material from time to time. All this material originated on sci.physics. Much of it is written by Oz and me, but there are also substantial contributions by Ted Bunn, Ed Green, Keith Ramsay, Bruce Scott, Bronis Vidugiris, and Michael Weiss. General relativity is usually written with lots of superscripts and subscripts. Mitchell Charity has kindly improved these web pages so that they look nice. However, not all web browsers can handle this.

5. Lecture Notes On General Relativity This homepage contains lecture notes on the course of general relativity FX2/H97 read in the fall Category Science Physics Relativity Courses and Tutorials......general relativity This homepage contains lecture notes on the course of generalrelativity FX2/H97 read in the fall semester 1997 at the Physics Institute of http://www.asu.cas.cz/~had/gr.html

General Relativity This homepage contains lecture notes on the course of general relativity FX2/H97 read in the fall semester 1997 at the Physics Institute of NTNU, Trondheim. Some parts were added later. It is still under construction (see the dates of last revision of each chapter). Some viewers do not allow to see the PS-files on the screen. However, you can download it (using the 'save'-command) and print it on a PostScript printer. Contents: Introduction Special relativity Basic concepts of general relativity Spherically symmetric spacetimes ... References A supplementary text on lower level can be found in lecture notes on cosmology which was read in the fall semester 1999 as a part of another course. To get more information contact, please, the author. Readers may find interesting also other web-pages on general relativity referred at Hillman's list and Syracuse University list Petr Hadrava, Astronomical Institute of the Academy of Sciences of the Czech Republic, 251 65 Ondrejov, Czech Republic tlf.: +420 204 620 141

6. General Relativity A brief history of the development of general relativity with hyperlinks to biographies of each contributor.Category Science Physics Relativity Overviews......general relativity. The final steps to the theory of general relativitywere taken by Einstein and Hilbert at almost the same time. http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/General_relativity.html

7. General Relativity LectureFind Lecture Notes Outlining The Time-line And The Key Follow either the short course or long course outline for a look rather complex tour through Einstein's relativity theory. http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/General_relativity.html

8. General Relativity References References for general relativity. A Ashtekar, Chandrasekhar's contributionsto general relativity, Current Sci. 70 (9) (1996), 800804. http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/References/General_relativit

9. General Relativity This homepage contains lecture notes on the course of general relativity FX2/H97 read in the fall semester 1997 at the Physics Institute of NTNU, Trondheim. Some parts were added later. http://www.ncsa.uiuc.edu/Cyberia/NumRel/GenRelativity.html

Forward Back Up Map ... Information General Relativity Einstein's 1916 paper on General Relativity In 1916 Einstein expanded his Special Theory to include the effect of gravitation on the shape of space and the flow of time. This theory, referred to as the General Theory of Relativity , proposed that matter causes space to curve. JPEG Image Embedding Diagrams Picture a bowling ball on a stretched rubber sheet. GIF Image The large ball will cause a deformation in the sheet's surface. A baseball dropped onto the sheet will roll toward the bowling ball. Einstein theorized that smaller masses travel toward larger masses not because they are "attracted" by a mysterious force, but because the smaller objects travel through space that is warped by the larger object. Physicists illustrate this idea using embedding diagrams Contrary to appearances, an embedding diagram does not depict the three-dimensional "space" of our everyday experience. Rather it shows how a 2D slice through familiar 3D space is curved downwards when embedded in flattened hyperspace. We cannot fully envision this hyperspace; it contains seven dimensions, including one for time! Flattening it to 3D allows us to represent the curvature. Embedding diagrams can help us visualize the implications of Einstein's General Theory of Relativity. The Flow of Spacetime Another way of thinking of the curvature of spacetime was elegantly described by Hans von Baeyer. In a prize-winning

10. Books On General Relativity Books on general relativity. Keywords general relativity TextbooksBF Schutz, A First Course in general relativity (Cambridge, 1985). http://pancake.uchicago.edu/~carroll/notes/grbooks.html

Books on General Relativity As good as the Lecture Notes on General Relativity are, you may wish to go deeper, or consider the same subjects from a different point of view. This is a collection of books I can recommend for further study. Click on the title to go to a page at amazon.com where you can order the books online. Jump to: General Relativity Textbooks Mathematics References Related Areas Popular Books ... Others Or you can search yourself: Search: All Products Books Popular Music Classical Music Video Toys Consumer Electronics Home Improvement Keywords: General Relativity Textbooks B.F. Schutz, A First Course in General Relativity (Cambridge, 1985). This is a very nice introductory text. Especially useful if, for example, you aren't quite clear on what the energy-momentum tensor really means. S. Weinberg, Gravitation and Cosmology (Wiley, 1972). A really good book at what it does, especially strong on astrophysics, cosmology, and experimental tests. However, it takes an unusual non-geometric approach to the material, and doesn't discuss black holes. C. Misner, K. Thorne and J. Wheeler,

11. General Relativity A brief overview of general relativity in nontechnical terms.Category Science Physics Relativity Overviews......general relativity a very weird world. This is general relativitya brief explanation of the fundamentals ideas. Before beginning http://www.svsu.edu/~slaven/gr/

General relativity: a very weird world This is the English translation of a webpage originally written in French , by Nymbus , who also provided the translation. I've agreed to post it here at my own website, and have cleaned up the translation a bit, editing for grammar, and so on, but leaving the content untouched, I think. So any comments or questions should be addressed to nymbus@wanadoo.fr . It's his project. (Although, if there's a problem with the page such as the images not showing up or special characters not appearing, send word to me .) Dave This page has also been translated into Spanish At times, this page alludes to concepts from the special theory of relativity, which are explored here General relativity: a brief explanation of the fundamentals ideas Before beginning this brief article, dealing with the essential features of general relativity, we have to postulate one thing: special relativity is supposed to be true. Hence, general relativity lies on special relativity. If the latter were proved to be false, the whole edifice would collapse. In order to understand general relativity, we have to define how mass is defined in classical mechanics.

12. Gen. Relativity Cosmology An online notes from the University of British Columbia featuring simple explanations of cosmological Category Science Physics Relativity Courses and Tutorials......general relativity COSMOLOGY. As Elementary Particle Physicists directtheir attention ``down'' toward the indescribably tiny, so http://musr.physics.ubc.ca/~jess/p200/cosm/cosm.html

Next: Astronomy As Elementary Particle Physicists direct their attention ``down'' toward the indescribably tiny, so Cosmologists turn their gaze ``upward'' toward the unfathomably huge. Of course, these days both are increasingly likely to be incarnate in the same individual - I'll get to that later. As one who has never looked through a telescope larger than I could carry, I am certain to give short shrift to the magnificent observational science of astronomy , which provides cosmology (a theoretical discipline) with all its data. But a summary of the former without good colour plates of star fields and nebulae would be a terrible waste anyway, so I hope I have motivated the curious to go out and read a good Astronomy book on their own. Moreover, I am so ignorant of General Relativity and most of the fine points of Cosmology that I really have no business writing about either. Therefore I must content myself with a justification in terms of my ``unique point of view,'' whereby I excuse the following distortions. Astronomy Tricks of the Trade Parallax Spectroscopy ... Bang!

13. General Relativity general relativity. Einstein's 1916 paper on general relativity. In Thisis a basic postulate of the Theory of general relativity. It http://archive.ncsa.uiuc.edu/Cyberia/NumRel/GenRelativity.html

Forward Back Up Map ... Information General Relativity Einstein's 1916 paper on General Relativity In 1916 Einstein expanded his Special Theory to include the effect of gravitation on the shape of space and the flow of time. This theory, referred to as the General Theory of Relativity , proposed that matter causes space to curve. JPEG Image Embedding Diagrams Picture a bowling ball on a stretched rubber sheet. GIF Image The large ball will cause a deformation in the sheet's surface. A baseball dropped onto the sheet will roll toward the bowling ball. Einstein theorized that smaller masses travel toward larger masses not because they are "attracted" by a mysterious force, but because the smaller objects travel through space that is warped by the larger object. Physicists illustrate this idea using embedding diagrams Contrary to appearances, an embedding diagram does not depict the three-dimensional "space" of our everyday experience. Rather it shows how a 2D slice through familiar 3D space is curved downwards when embedded in flattened hyperspace. We cannot fully envision this hyperspace; it contains seven dimensions, including one for time! Flattening it to 3D allows us to represent the curvature. Embedding diagrams can help us visualize the implications of Einstein's General Theory of Relativity. The Flow of Spacetime Another way of thinking of the curvature of spacetime was elegantly described by Hans von Baeyer. In a prize-winning

14. Hyperspace GR Hypertext A set of hypertext based services for general relativity research provided by the QMW Relativity group.Category Science Physics Relativity...... Dunsby's Internet GR course at Cape Town. The general relativity NewsArchives. general relativity and Quantum Cosmology Preprints. http://www.maths.qmw.ac.uk/hyperspace/

15. GRG Society Home Page The International Society on general relativity and Gravitation was formed in 1971and is the successor to the International Committee on general relativity http://www.maths.qmw.ac.uk/grgsoc/

16. Differential Gometry And General Relativity Introduction to differential geometry and general relativity by Stefan Waner at Hofstra University in HTML.Category Science Math Publications Online Texts......Online introduction to differential geometry and general relativity. Introductionto Differential Geometry and general relativity. http://people.hofstra.edu/faculty/Stefan_Waner/diff_geom/tc.html

Introduction to Differential Geometry and General Relativity Lecture Notes by Stefan Waner, Department of Mathematics, Hofstra University These notes are dedicated to the memory of Hanno Rund. TABLE OF CONTENTS 1. Preliminaries: Distance, Open Sets, Parametric Surfaces and Smooth Functions 2. Smooth Manifolds and Scalar Fields 3. Tangent Vectors and the Tangent Space 4. Contravariant and Covariant Vector Fields ... Download the latest version of the differential geometry/relativity notes in PDF format References and Suggested Further Reading (Listed in the rough order reflecting the degree to which they were used) Bernard F. Schutz, A First Course in General Relativity (Cambridge University Press, 1986) David Lovelock and Hanno Rund, Tensors, Differential Forms, and Variational Principles (Dover, 1989) Charles E. Weatherburn, An Introduction to Riemannian Geometry and the Tensor Calculus (Cambridge University Press, 1963) Charles W. Misner, Kip S. Thorne and John A. Wheeler, Gravitation (W.H. Freeman, 1973) Keith R. Symon

17. Australasian Society For General Relativity And Gravitation Includes a newsletter, information on events, and links to related research groups.Category Science Physics Relativity Research Groups......Australasian Society for general relativity and Gravitation. GeneralRelativity, Gravitation and Cosmology WWW sites worldwide. Other http://www.physics.adelaide.edu.au/ASGRG/

Australasian Society for General Relativity and Gravitation Contents Membership information Newsletters Job vacancies Committee / contact information ... Other links worldwide The Australasian Society for General Relativity and Gravitation (ASGRG) was formed at a meeting of mathematicians and physicists in Canberra in September 1994. The Society aims to bring together researchers who work in a wide range of areas within mathematical, theoretical and experimental gravitation: exact solutions of general relativity, mathematical relativity, numerical relativity, quantum gravity, cosmology, estimation of the gravitational wave signals produced by astronomical sources, and development of techniques and technology for detecting these signals with earth- and satellite-based antennae. It was decided to form the society to facilitate discussion of mutual problems of interest and to provide greater cooperation to solve the outstanding problems in the various fields. We see our role as providing a regional forum in Australia and New Zealand similar to the recently formed Topical Interest Group in Gravitation of the American Physical Society, and the international GRG society. The official name and constitution of the Society were adopted at the first General Meeting, which was held during the

18. General Relativity, Gravitation And Cosmology WWW Sites general relativity, Gravitation and Cosmology WWW sites. AustralasiaAustralasian Society for general relativity and Gravitation; http://www.physics.adelaide.edu.au/itp/relativity.html

General Relativity, Gravitation and Cosmology WWW sites Australasia Australasian Society for General Relativity and Gravitation Adelaide Mathematical Physics Group ANU Gravity Research ANU Gravitational Wave Group , Canberra Australian Consortium for Interferometric Gravitational Astronomy - ACIGA Canberra University Numerical Relativity Group , School of Mathematics and Statistics Monash - General Relativity Group , Dept of Mathematics and Statistics Sydney Nonlinear Analysis Group , School of Mathematics and Statistics UWA Gravity Wave Group Asia University of Tokyo, Gravitational Wave Group Europe , Potsdam AURIGA gravitational wave detector , Legnaro National Laboratories, Italy Balearic Islands University, Mallorca Cardiff Relativity Group Cambridge, DAMTP Relativity Group Cambridge, Institute of Astronomy ... GRAIL gravitational wave detector , NIKHEF, Netherlands Freiburg, Gravity Imperial College, Theoretical Physics Group Astrophysics Group King's College, London: Mathematics Department Theoretical Physics Group Rome gravitational wave research group Loughborough Relativity Group Newcastle-Upon-Tyne, Nottingham - Mathematical Physics Division Oxford University

19. Modern Relativity Modernrelativity Special General Black Hole Mass Energy Einste Over 50 sections explaining derivations in general relativity. Has a special relativity subsection, Category Science Physics Relativity Courses and Tutorials......modernrelativity special general relativity black hole mass energy Einsteinwormhole time travel Schwarzschild modern light Aclubierre warp. ã 2000. http://www.modernrelativity.com/

By David Waite voluntary contributions Modern Relativity These units explain general relativity only. We assume that the reader already has a full understanding of special relativity . For info on special relativity try our special relativity unit - Unit I - Special Relativity General Relativity Preface Unit II Foundations For General Relativity Chapter 4 Starting GR 4.1 - The Conceptual Premises For GR 4.2 - Tensors in GR 4.3 - The Metric and Invariants of GR ... 6.3 - Stress Energy of Matter and Einstein's Field Equations Unit III Using General Relativity Chapter 7 Electromagnetism in GR 7.1 - Maxwell's Equations 7.2 - Larmor Radiation and the Abraham-Lorentz Formulae Chapter 8 Robertson-Walker and the Big Bang ... 9.2 - Newtonian Limit Vs Gravitomagnetism Unit IV Black Holes Chapter 10 The Schwarzschild Black Hole 10.1 - The Schwarzschild Solution 10.2 - Hovering over a Schwarzschild Black Hole 10.3 - "Apparently" Lighter With Speed ... 11.2 - Hawking Radiation Unit V Fringe Physics in General Relativity Chapter 12 The New Frontiers 12.1 - Metric Engineering 12.2 - Wormholes 12.3 - Time Travel ... Appendix A : Newtonian-Relativistic Comparisons Appendix B : Planck - SI Unit Conversion Index Misc Good Web Pages Email the author: staff@modernrelativity.com

20. Unit 57 UNIT 57. THE GENERAL THEORY OF RELATIVITY. NOTE Only in the last fewyears has the experimental side of general relativity blossomed. We http://astro.physics.sc.edu/SelfPacedUnits/Unit57.html

UNIT 57 THE GENERAL THEORY OF RELATIVITY NOTE: This Unit assumes you have studied Unit 56. GOALS: After mastery of this unit you should: know some of the major predictions of the General Theory know some of the evidence that supports the theory understand how this theory relates to cosmological ideas REFERENCES The essay on the General Theory of Relativity that is attached or available from Kinko's. The following text material: the last part of Chapter 19; portions of Chapters 25, 26 and 27 MASTERY Will be evaluated by a 15 question, multiple-choice evaluation (13 correct responses for mastery) on the following: OBJECTIVES: You should be able to recognize the equivalence or difference in observations made by an observed in a small enclosed box (elevator) which is at rest on the Earth in a rocketship undergoing constant acceleration in space far from other objects freely-falling towards the Earth the following about tidal effects that gravity disappears if you freely-fall, only the tidal effects remain. that the tides are the true effects of gravity a description of the principle of general covariance.

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