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Singular null hypersurfaces in general relativity : light-like signals from violent astrophysical events /
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 astrophysic...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
River Edge, N.J. :
World Scientific,
©2003.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Barrabes, Claude. | |
| 245 | 1 | 0 | |a Singular null hypersurfaces in general relativity : |b light-like signals from violent astrophysical events / |c C. Barrabès, P.A. Hogan. |
| 260 | |a River Edge, N.J. : |b World Scientific, |c ©2003. | ||
| 300 | |a 1 online resource (x, 193 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (pages 187-193). | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Hypersurfaces. | |
| 650 | 0 | |a General relativity (Physics) |x Mathematics. | |
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| 700 | 1 | |a Hogan, P. A. |q (Peter A.) | |
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