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Record Nr. |
UNINA9910257424203321 |
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Autore |
Kriele Marcus <1962-> |
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Titolo |
Spacetime : Foundations of General Relativity and Differential Geometry / / by Marcus Kriele |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1999 |
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ISBN |
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Edizione |
[1st ed. 1999.] |
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Descrizione fisica |
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1 online resource (XIX, 436 p.) |
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Collana |
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Lecture Notes in Physics Monographs ; ; 59 |
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Disciplina |
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Soggetti |
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Astrophysics |
Gravitation |
Astronomy |
Mathematical physics |
Geometry, Differential |
Classical and Quantum Gravity |
Astronomy, Cosmology and Space Sciences |
Mathematical Methods in Physics |
Differential Geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. |
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