Singular null hypersurfaces in general relativity : light-like signals from violent astrophysical events /

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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Barrabes, Claude
Otros Autores: Hogan, P. A. (Peter A.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: River Edge, N.J. : World Scientific, ©2003.
Temas:
Hypersurfaces.
General relativity (Physics) > Mathematics.
Relativité générale (Physique) > Mathématiques.
SCIENCE > Physics > Relativity.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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