Send to friends and colleagues. This book contains a good bit of materials on differential geometry. 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. Learn more », © 2001–2018 So, please visit that page for current lecture information. (25 Nov 1997; 32 pages) What is even more amazing, the notes have been translated into French by Jacques Fric. No enrollment or registration. Not in particular order. Notes on General Relativity, by Robert Wald (1984). Notes from Professor Leonard Susskind video lectures publicly available on YouTube. black hole is hairless reveals analysis of gravitational. Cet ouvrage écrit par une vingtaine des plus grands mathématiciens russes du XXe siècle est d'une pédagogie exceptionnelle. - Whiteboard Capture - Lecture Capture; Here is a quiz on Special relativity you took in the 8th class period - EXCELLENT way to review your understanding! 8. MIT has a one semester course in general relativity, which I have taught several times. Dates refer to the last nontrivial modification of the corresponding file (fixing typos doesn’t count). Des exemples simples soigneusement choisis précèdent les parties théoriques, lesquelles réalisent un bon équilibre entre intuition et rigueur. Use OCW to guide your own life-long learning, or to teach others. Welcome! Modify, remix, and reuse (just remember to cite OCW as the source. Its history goes back to 1915 when Einstein postulated that the laws of gravity can be expressed as a system of equations, the so-called Einstein equations. In addition, I also included a couple of books on differential geometry which can be helpful for studying general relativity and cosmology (the last two books on the list). This is one of over 2,200 courses on OCW. The majority of the audience were graduate students who have never had any prior encounter with differential geometry. Je ne parle pas francais, mais cette traduction devrait etre bonne. » Find materials for this course in the pages linked along the left. Physics It is based on the Equivalence Principle of Gravitation and Inertia, which establishes a founda- mental connection between the gravitational eld and the geometry of the spacetime, and on The Principle of General Covariance. Weak Fields and Gravitational Radiation, 7. (22 Nov 1997; 37 pages) - Relativity. (1 Dec 1997; 15 pages) This book grew out of Sean Carroll's much earlier, A Relativist's Toolkit, The Mathematics of Black-Hole Mechanics, Eric Poisson, Cambridge University Press, 2004, An Introduction to General Relativity, L. P. Hughston and K. P. Tod, Cambridge University Press, 1990, Relativity, An Introduction to Special and General Relativity, 3rd Edition, Hans Stephani, Cambridge University Press, 2004, Black Holes and Time Warps, Einstein's Outrageous Legacy, Kip Thorne and Stephen Hawking (Foreword), W. W. Norton & Company, 1995, Lorentzian Wormholes, From Einstein to Hawking, Matt Visser, AIP Series in Computational and Applied Mathematical Physics, 2008, Advanced General Relativity, John Stewart, Cambridge University Press, 1991, General Relativity and Relativistic Astrophysics, Norbert Straumann, Springer-Verlag, 1984, Relativity, Thermodynamics and Cosmology, Richard C. Tolman, Oxford at the Clarendon Press, 1934, Relativity on Curved Manifolds, F. De Felice and C. J. S. Clark, Cambridge University Press, 1990, Lectures on General Relativity, A. Papapetrou, D. Reidel Publishing Company, 1974, Principles of Cosmology and Gravitation, Michael V. Berry, Cambridge University Press, 1976, Gravitation, Charles W. Misner, Kip S. Thorne and John Archibald Wheeler, W. H. Freeman and Company, 1973, The Large Scale Structure of Space-Time, S. W. Hawking and G. F. R. Ellis, Cambridge University Press, 1973, General Relativity, Robert M. Wald, The University of Chicago Press, 1984, An Introduction to Differentiable Manifolds and Riemannian Geometry, William M. Boothby, Academic Press, 1986, Semi-Riemannian Geometry with Applications to Relativity, Barrett O'Neill, Academic Press, 1983. pullbacks and pushforwards — diffeomorphisms — integral curves — Lie derivatives — the energy-momentum tensor one more time — isometries and Killing vectors, 6. Made for sharing. ��M_���d{�n?�a_�ܷ�AOb��b�W�'��`�n�芲ZZ���qA��(� l�>gg��~�����8�Dh�e�V�U�anc�j�^0��\��%�M:xŶ��8�V0j���n����m. This book is dubbed the bible of general relativity. Therefore, I tried to maintain mathematical rigor and technicalities at a minimum when discussed differential geometric concepts, instead mostly used hand-waving and rudimentary arguments with emphases on physical ideas and intuition. Course material in Lecture format (this is a condensed version of the above book chapters that will be used for presentation in class. Can’t be bothered to slog through lovingly detailed descriptions of subtle features of curved spacetime? Note that, unlike the book, no real effort has been made to fix errata in these notes, so be sure to check your equations. Il a formé des millions d'élèves, ingénieurs et scientifiques dans le monde entier. spherical symmetry — the Schwarzschild metric — Birkhoff’s theorem — geodesics of Schwarzschild — Newtonian vs. relativistic orbits — perihelion precession — the event horizon — black holes — Kruskal coordinates — formation of black holes — Penrose diagrams — conformal infinity — no hair — charged black holes — cosmic censorship — extremal black holes — rotating black holes — Killing tensors — the Penrose process — irreducible mass — black hole thermodynamics, 8. gravitational waves discovered from colliding black holes. Minkowski Spacetime - Lecture Notes Stony Brook - Slide on Special Relativity Sean Carroll - Lecture notes on General Relativity (for cosmology) Columbia University - Lecture Notes on General Relativity Einstein Field Equation - Video Lecture for GR Schwarzschild Solution - Lecture Notes M87 Black Hole Picture - Papers.

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