LEADER 02991nam 22005775 450 001 9910383831003321 005 20251113174239.0 010 $a9783030284169 010 $a3030284166 024 7 $a10.1007/978-3-030-28416-9 035 $a(CKB)4100000010770885 035 $a(DE-He213)978-3-030-28416-9 035 $a(MiAaPQ)EBC6142296 035 $a(PPN)243227027 035 $a(MiAaPQ)EBC31886900 035 $a(Au-PeEL)EBL31886900 035 $a(OCoLC)1499720058 035 $a(EXLCZ)994100000010770885 100 $a20200319d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aElements of General Relativity /$fby Piotr T. Chru?ciel 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019. 215 $a1 online resource (IX, 283 p. 53 illus., 46 illus. in color.) 225 1 $aCompact Textbooks in Mathematics,$x2296-455X 311 08$a9783030284152 311 08$a3030284158 327 $aIntroduction to tensor calculus and Riemannian geometry -- Curved space-time -- The Schwarzschild metric -- Weak fields, gravitational waves -- Stars -- Cosmology. 330 $aThis book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations. 410 0$aCompact Textbooks in Mathematics,$x2296-455X 606 $aGeometry, Differential 606 $aGravitation 606 $aDifferential Geometry 606 $aClassical and Quantum Gravity 615 0$aGeometry, Differential. 615 0$aGravitation. 615 14$aDifferential Geometry. 615 24$aClassical and Quantum Gravity. 676 $a530.11 700 $aChru?ciel$b Piotr T$4aut$4http://id.loc.gov/vocabulary/relators/aut$045318 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910383831003321 996 $aElements of General Relativity$91742309 997 $aUNINA