| Description |
1 online resource (x, 193 pages) : illustrations |
| 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. 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. 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. 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. 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. 5.3. Colliding spherical null shells. 5.4. Gravitational collapse, gravitational radiation and singularities -- 6. Collisions of plane impulsive light-like signals. 6.1. Khan-Penrose solution. 6.2. Colliding plane impulsive gravitational waves: the general case. 6.3. Plane impulsive light-like signal collisions: some non-interacting examples -- 7. Impulsive light-like signals in alternative theories of gravity. 7.1. Scalar-tensor theories of gravitation. 7.2. Einstein-Cartan theory of gravitation. 7.3. Einstein-Gauss-Bonnet theory of gravitation -- Appendix A. Notation -- Appendix B. Singular hypersurfaces: the non-null case -- Bibliography |
| 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 and researchers in relativistic astrophysics, cosmology and string theory will find this book very useful |
| Bibliography |
Includes bibliographical references (pages 187-193) |
| Notes |
Print version record |
| Subject |
Hypersurfaces.
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General relativity (Physics) -- Mathematics
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SCIENCE -- Physics -- Relativity.
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General relativity (Physics) -- Mathematics
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Hypersurfaces
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| Form |
Electronic book
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| Author |
Hogan, P. A. (Peter A.)
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| ISBN |
9789812796639 |
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9812796630 |
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1281956023 |
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9781281956026 |
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9789812387370 |
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9812387374 |
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