LEADER 03311nam 22006375 450 001 9910483129303321 005 20251113211505.0 010 $a3-030-65683-7 024 7 $a10.1007/978-3-030-65683-6 035 $a(CKB)4100000011807050 035 $a(MiAaPQ)EBC6526779 035 $a(Au-PeEL)EBL6526779 035 $a(OCoLC)1243350294 035 $a(PPN)254723756 035 $a(DE-He213)978-3-030-65683-6 035 $a(EXLCZ)994100000011807050 100 $a20210324d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Mathematical Relativity /$fby José Natário 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (191 pages) 225 1 $aLatin American Mathematics Series ? UFSCar subseries,$x2524-6763 311 08$a3-030-65682-9 327 $a- Preface -- Preliminaries -- Exact Solutions -- Causality -- Singularity Theorems -- Cauchy Problems -- Mass in general relativity -- Black Holes -- Appendix: Mathematical Concepts for Physicists -- Bibliography -- Index. 330 $aThis concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics. It emerged from lecture notes originally conceived for a one-semester course in Mathematical Relativity which has been taught at the Instituto Superior Técnico (University of Lisbon, Portugal) since 2010 to Masters and Doctorate students in Mathematics and Physics. Mostly self-contained, and mathematically rigorous, this book can be appealing to graduate students in Mathematics or Physics seeking specialization in general relativity, geometry or partial differential equations. Prerequisites include proficiency in differential geometry and the basic principles of relativity. Readers who are familiar with special relativity and have taken a course either in Riemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book. 410 0$aLatin American Mathematics Series ? UFSCar subseries,$x2524-6763 606 $aGeometry, Differential 606 $aMathematical physics 606 $aGeneral relativity (Physics) 606 $aDifferential equations 606 $aDifferential Geometry 606 $aMathematical Methods in Physics 606 $aGeneral Relativity 606 $aDifferential Equations 615 0$aGeometry, Differential. 615 0$aMathematical physics. 615 0$aGeneral relativity (Physics). 615 0$aDifferential equations. 615 14$aDifferential Geometry. 615 24$aMathematical Methods in Physics. 615 24$aGeneral Relativity. 615 24$aDifferential Equations. 676 $a516.36 700 $aNata?rio$b Jose?$0721266 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483129303321 996 $aIntroduction to mathematical relativity$93590963 997 $aUNINA