03533nam 2200661Ia 450 991014060770332120200520144314.09786613562692978128038477612803847789780387881348038788134410.1007/978-0-387-88134-8(CKB)2670000000010138(SSID)ssj0000449779(PQKBManifestationID)11290160(PQKBTitleCode)TC0000449779(PQKBWorkID)10429684(PQKB)11065379(DE-He213)978-0-387-88134-8(MiAaPQ)EBC3065163(PPN)149048696(EXLCZ)99267000000001013820080910d2009 uy 0engurnn|008mamaatxtccrLecture notes on the general theory of relativity from Newton's attractive gravity to the repulsive gravity of vacuum energy /Grn yvind1st ed. 2009.New York Springerc20091 online resource (XII, 252 p. 93 illus.) Lecture notes in physics ;772Bibliographic Level Mode of Issuance: Monograph9781441927750 1441927751 9780387881331 0387881336 Includes bibliographical references and index.Newton’s Law of Universal Gravitation -- The Special Theory of Relativity -- Vectors, Tensors and Forms -- Accelerated Reference Frames -- Covariant Differentiation -- Curvature -- Einstein’s Field Equations -- The Schwarzschild Spacetime -- Black Holes -- Schwarzschild’s Interior Solution -- Cosmology.This book has resulted from a course in the general theory of relativity at the University of Oslo where the author has lectured for more than twenty years. Although the text is designed for master students, it is rather self-contained. Since mathematics courses on differential geometry and tensor calculus usually employ a rather abstract notation different from the component notation used in physical applications, the book introduces not only an introduction to the physical principles of the theory and physical applications of the theory, but also introduces the mathematics which is needed, in particular the calculus of differential forms. Detailed calculations are given of the bending of light, the perihelion precession of Mercury and the predictions for the Hafele-Keating experiment. The Tolman-Oppenheimer-Volkoff equation is deduced and solved for an incompressible fluid to give the internal Schwarzschild solution. Rotating black holes are discussed. The Friedmann-Robertson-Walker universe models are deduced. Also the reader will become familiar with the Universe model which is now considered as the standard model of the universe; a flat model filled with vacuum energy and cold matter. The inflationary era at the first moment of the history of our universe is also discussed.Lecture notes in physics ;772.Relativity (Physics)PhysicsRelativity (Physics)Physics.530.11530sdnbUD 8220rvkGrn yvind0MiAaPQMiAaPQMiAaPQBOOK9910140607703321Lecture Notes on the General Theory of Relativity855584UNINA