LEADER 03533nam 2200661Ia 450 001 9910140607703321 005 20200520144314.0 010 $a9786613562692 010 $a9781280384776 010 $a1280384778 010 $a9780387881348 010 $a0387881344 024 7 $a10.1007/978-0-387-88134-8 035 $a(CKB)2670000000010138 035 $a(SSID)ssj0000449779 035 $a(PQKBManifestationID)11290160 035 $a(PQKBTitleCode)TC0000449779 035 $a(PQKBWorkID)10429684 035 $a(PQKB)11065379 035 $a(DE-He213)978-0-387-88134-8 035 $a(MiAaPQ)EBC3065163 035 $a(PPN)149048696 035 $a(EXLCZ)992670000000010138 100 $a20080910d2009 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aLecture notes on the general theory of relativity $efrom Newton's attractive gravity to the repulsive gravity of vacuum energy /$fGrn yvind 205 $a1st ed. 2009. 210 $aNew York $cSpringer$dc2009 215 $a1 online resource (XII, 252 p. 93 illus.) 225 1 $aLecture notes in physics ;$v772 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9781441927750 311 08$a1441927751 311 08$a9780387881331 311 08$a0387881336 320 $aIncludes bibliographical references and index. 327 $aNewton?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. 330 $aThis book has resulted from a course in the general theory of relativity at the University of Oslo where the author has lectured for more than twenty years. Although the text is designed for master students, it is rather self-contained. Since mathematics courses on differential geometry and tensor calculus usually employ a rather abstract notation different from the component notation used in physical applications, the book introduces not only an introduction to the physical principles of the theory and physical applications of the theory, but also introduces the mathematics which is needed, in particular the calculus of differential forms. Detailed calculations are given of the bending of light, the perihelion precession of Mercury and the predictions for the Hafele-Keating experiment. The Tolman-Oppenheimer-Volkoff equation is deduced and solved for an incompressible fluid to give the internal Schwarzschild solution. Rotating black holes are discussed. The Friedmann-Robertson-Walker universe models are deduced. Also the reader will become familiar with the Universe model which is now considered as the standard model of the universe; a flat model filled with vacuum energy and cold matter. The inflationary era at the first moment of the history of our universe is also discussed. 410 0$aLecture notes in physics ;$v772. 606 $aRelativity (Physics) 606 $aPhysics 615 0$aRelativity (Physics) 615 0$aPhysics. 676 $a530.11 686 $a530$2sdnb 686 $aUD 8220$2rvk 700 $aGrn$b yvind$00 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910140607703321 996 $aLecture Notes on the General Theory of Relativity$9855584 997 $aUNINA