02373nam 2200337 n 450 991052257430332120230516134201.0(CKB)5860000000003625(NjHacI)995860000000003625(EXLCZ)99586000000000362520230516d2021 uu 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierFoundations of General Relativity From Einstein to Black Holes /Klaas LandsmanNijmegen :Radboud University Press,2021.1 online resource (xiv, 377 pages)This 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.Foundations of General Relativity General relativity (Physics)General relativity (Physics)530.11Landsman Klaas821832NjHacINjHaclBOOK9910522574303321Foundations of General Relativity3032292UNINA