Spacetime [electronic resource] : Foundations of General Relativity and Differential Geometry / by Marcus Kriele.
Material type: TextSeries: Lecture Notes in Physics, Monographs ; 59Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1999Description: XIX, 436 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540483540Subject(s): Physics | Global differential geometry | Mathematical physics | Relativity (Physics) | Physics | Relativity and Cosmology | Mathematical Methods in Physics | Differential GeometryAdditional physical formats: Printed edition:: No titleDDC classification: 523.1 LOC classification: QB980-991Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK2695 |
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.
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