LEADER 02192nam a22002771i 4500
001 991004265227607536
005 20240125113018.0
008 230227s2021    sz      rb    001 0 eng d
020   $a9783030656850
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Fisica$beng
082 04$a530.11$223
084   $aLC QC173.6
084   $a53.1.52
084   $aAMS 53-XX
100 1 $aNatário, José$0721266
245 13$aAn Introduction to mathematical relativity /$cJosé Natário
260   $aCham, Switzerland :$bSpringer,$cc2021
300   $aviii, 186 p. :$bill. ;$c24 cm
490 0 $aLatin American mathematics series. UFSCar subseries,$x2524-6755
504   $aIncludes bibliographical references and index
505 0 $aPreliminaries -- Exact Solutions -- Causality -- Singularity Theorems -- Cauchy Problems -- Mass in general relativity -- Black Holes -- Appendix: Mathematical Concepts for Physicists
520   $aThis concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics. It emerged from lecture notes originally conceived for a one-semester course in Mathematical Relativity which has been taught at the Instituto Superior Tecnico (University of Lisbon, Portugal) since 2010 to Masters and Doctorate students in Mathematics and Physics. Mostly self-contained, and mathematically rigorous, this book can be appealing to graduate students in Mathematics or Physics seeking specialization in general relativity, geometry or partial differential equations. Prerequisites include proficiency in differential geometry and the basic principles of relativity. Readers who are familiar with special relativity and have taken a course either in Riemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book
650  4$aGeneral relativity (Physics)$xMathematics
912   $a991004265227607536
996   $aIntroduction to mathematical relativity$93590963
997   $aUNISALENTO