LEADER 02373nam 2200337 n 450 001 9910522574303321 005 20230516134201.0 035 $a(CKB)5860000000003625 035 $a(NjHacI)995860000000003625 035 $a(EXLCZ)995860000000003625 100 $a20230516d2021 uu 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFoundations of General Relativity $eFrom Einstein to Black Holes /$fKlaas Landsman 210 1$aNijmegen :$cRadboud University Press,$d2021. 215 $a1 online resource (xiv, 377 pages) 330 $aThis book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory. 517 $aFoundations of General Relativity 606 $aGeneral relativity (Physics) 615 0$aGeneral relativity (Physics) 676 $a530.11 700 $aLandsman$b Klaas$0821832 801 0$bNjHacI 801 1$bNjHacl 906 $aBOOK 912 $a9910522574303321 996 $aFoundations of General Relativity$93032292 997 $aUNINA