LEADER 03784nam 22006972 450 001 9910783090203321 005 20151005020622.0 010 $a1-107-11540-X 010 $a1-280-42020-0 010 $a9786610420209 010 $a0-511-17249-4 010 $a0-511-04006-7 010 $a0-511-15188-8 010 $a0-511-30205-3 010 $a0-511-75577-5 010 $a0-511-05088-7 035 $a(CKB)1000000000003252 035 $a(EBL)201959 035 $a(OCoLC)49838272 035 $a(SSID)ssj0000161395 035 $a(PQKBManifestationID)11163095 035 $a(PQKBTitleCode)TC0000161395 035 $a(PQKBWorkID)10191037 035 $a(PQKB)11014140 035 $a(UkCbUP)CR9780511755774 035 $a(MiAaPQ)EBC201959 035 $a(Au-PeEL)EBL201959 035 $a(CaPaEBR)ebr2000815 035 $a(CaONFJC)MIL42020 035 $a(PPN)145848574 035 $a(EXLCZ)991000000000003252 100 $a20100422d1999|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeneral relativity $ea geometric approach /$fMalcolm Ludvigsen$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d1999. 215 $a1 online resource (xii, 217 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-63976-X 311 $a0-521-63019-3 320 $aIncludes bibliographical references (p. 213-214) and index. 327 $aCover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Introduction; 2 Events and Spacetime; 3 Flat Spacetime; 4 The Geometry of Flat Spacetime; 5 Energy; 6 Tensors; 7 Tensor Fields; 8 Field Equations; 9 Curved Spacetime; 10 Curvature and Gravity; 11 Null Congruences; 12 Asymptotic Flatness and Symmetries; 13 Schwarzschild Geometries and Spacetimes; 14 Black Holes and Singularities; 15 The Spacetime of the Universe; 16 Relativistic Cosmology; Solutions and Hints to Selected Exercises; Chapter 2; Chapter 3; Chapter 4; Chapter 5; Chapter 6; Chapter 7; Chapter 8; Chapter 9 327 $aChapter 10Chapter 11; Chapter 12; Chapter 13; Chapter 14; Chapter 16; Bibliography; Index 330 $aStarting with the idea of an event and finishing with a description of the standard big-bang model of the Universe, this textbook provides a clear, concise and up-to-date introduction to the theory of general relativity, suitable for final-year undergraduate mathematics or physics students. Throughout, the emphasis is on the geometric structure of spacetime, rather than the traditional coordinate-dependent approach. Topics covered include flat spacetime (special relativity), Maxwell fields, the energy-momentum tensor, spacetime curvature and gravity, Schwarzschild and Kerr spacetimes, black holes and singularities, and cosmology. All physical assumptions are clearly spelled out and the necessary mathematics is developed along with the physics. Exercises are provided at the end of each chapter and key ideas are illustrated with worked examples. Solutions and hints to selected problems are provided at the end of the book. This textbook will enable the student to develop a sound understanding of the theory of general relativity. 606 $aGeneral relativity (Physics) 606 $aSpace and time 606 $aGeometrodynamics 615 0$aGeneral relativity (Physics) 615 0$aSpace and time. 615 0$aGeometrodynamics. 676 $a530.11 700 $aLudvigsen$b Malcolm$f1946-$062233 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910783090203321 996 $aGeneral Relativity$9374500 997 $aUNINA