03211nam 22007575 450 991025742420332120250730103237.03-540-48354-310.1007/3-540-48354-3(CKB)1000000000778094(SSID)ssj0000326776(PQKBManifestationID)12081518(PQKBTitleCode)TC0000326776(PQKBWorkID)10312646(PQKB)11594075(DE-He213)978-3-540-48354-0(MiAaPQ)EBC3072560(MiAaPQ)EBC6486303(PPN)155198807(EXLCZ)99100000000077809420121227d1999 u| 0engurnn|008mamaatxtccrSpacetime Foundations of General Relativity and Differential Geometry /by Marcus Kriele1st ed. 1999.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1999.1 online resource (XIX, 436 p.) Lecture Notes in Physics Monographs ;59Bibliographic Level Mode of Issuance: Monograph3-540-66377-0 Includes bibliographical references and index.Local theory of space and time -- Analysis on manifolds -- Space and time from a global point of view -- Pseudo-Riemannian manifolds -- General relativity -- Robertson-Walker cosmology -- Spherical symmetry -- Causality -- Singularity theorems.This textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology.Lecture Notes in Physics Monographs ;59AstrophysicsGravitationAstronomyMathematical physicsGeometry, DifferentialAstrophysicsClassical and Quantum GravityAstronomy, Cosmology and Space SciencesMathematical Methods in PhysicsDifferential GeometryAstrophysics.Gravitation.Astronomy.Mathematical physics.Geometry, Differential.Astrophysics.Classical and Quantum Gravity.Astronomy, Cosmology and Space Sciences.Mathematical Methods in Physics.Differential Geometry.530.11Kriele Marcus1962-62318MiAaPQMiAaPQMiAaPQBOOK9910257424203321Spacetime191321UNINA