| Description |
1 online resource (205 pages) |
| Contents |
Preface ; 1. Introduction ; 1.1 Synge's Model ; 1.2 Penrose's Cut and Paste Approach ; 1.3 Generalized Lorentz Transformations ; 2. General Description of an Impulsive Light-Like Signal ; 2.1 Distributional Algorithm ; 2.2 Transverse Curvature Algorithm |
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2.3 Splitting the Signal into a Shell and a Gravitational Wave 2.4 An Example of a Plane Fronted Light-Like Signal ; 3. Illustrations and Implications of the Bianchi Identities ; 3.1 Abrupt Changes in Multipole Moments |
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3.2 Impulsive Light-Like Signals as Recoil Effects: Electromagnetic Example 3.3 Impulsive Light-Like Signals as Recoil Effects: Gravitational Example ; 3.4 Interaction of Impulsive Light-Like Signals with Matter ; 3.5 Implications of the Bianchi Identities |
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3.6 Theory of the Detection of Impulsive Light-Like Signals 4. Light-Like Boosts of Gravitating Bodies ; 4.1 Introduction: Light-Like Boost of the Coulomb Field ; 4.2 Boosting an Isolated Gravitating Source ; 4.3 Light-Like Boost of the Kerr Field |
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4.4 Deflection of Highly Relativistic Particles in the Kerr Field 4.5 The Exceptional Case of a Cosmic String ; 5. Spherically Symmetric Null Shells ; 5.1 Properties and Examples of Non-Stationary Spherical Null Shells ; 5.2 Horizon-Straddling Null Shells |
| Summary |
This book presents a comprehensive and self-contained exposition of the mathematical theory of impulsive light-like signals in general relativity. Applications are provided in relativistic astrophysics, cosmology and alternative theories of gravity deduced from string theory. Cataclysmic astrophysical events give rise to impulsive light-like signals which can generally be decomposed into a thin shell of null matter and an impulsive gravitational wave. Several examples are considered in black hole physics, wave collisions and light-like boosts of compact gravitating sources. Graduate students a |
| Notes |
Print version record |
| Subject |
Hypersurfaces.
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General relativity (Physics) -- Mathematics
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General relativity (Physics) -- Mathematics
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Hypersurfaces
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| Form |
Electronic book
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| ISBN |
9789812796639 |
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9812796630 |
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