Singular Null Hypersurfaces In General Relativity

Light-like Signals From Violent Astrophysical Events

By: Peter A Hogan, Claude Barrabes

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Hardcover | 5 February 2004

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Hardcover
204 Pages

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22.86 x 15.24 x 2.54

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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 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.

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.,." really useful both as an introduction to the field and as a reference for researchers ..."

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Non-Fiction Science Physics Relativity Physics Applied Physics Astrophysics Booktopia Publisher Services World Scientific Publishing

Preface	p. vii
Introduction	p. 1
Synge's Model	p. 1
Penrose's Cut and Paste Approach	p. 4
Generalized Lorentz Transformations	p. 9
General Description of an Impulsive Light-Like Signal	p. 13
Distributional Algorithm	p. 14
Transverse Curvature Algorithm	p. 17
Splitting the Signal into a Shell and a Gravitational Wave	p. 21
An Example of a Plane Fronted Light-Like Signal	p. 23
Illustrations and Implications of the Bianchi Identities	p. 29
Abrupt Changes in Multipole Moments	p. 29
Impulsive Light-Like Signals as Recoil Effects: Electromagnetic Example	p. 40
Impulsive Light-Like Signals as Recoil Effects: Gravitational Example	p. 49
Interaction of Impulsive Light-Like Signals with Matter	p. 54
Implications of the Bianchi Identities	p. 59
Theory of the Detection of Impulsive Light-Like Signals	p. 68
Light-Like Boosts of Gravitating Bodies	p. 75
Introduction: Light-Like Boost of the Coulomb Field	p. 75
Boosting an Isolated Gravitating Source	p. 79
Light-Like Boost of the Kerr Field	p. 91
Deflection of Highly Relativistic Particles in the Kerr Field	p. 98
The Exceptional Case of a Cosmic String	p. 103
Spherically Symmetric Null Shells	p. 109
Properties and Examples of Non-Stationary Spherical Null Shells	p. 109
Horizon-Straddling Null Shells	p. 116
Colliding Spherical Null Shells	p. 120
Gravitational Collapse, Gravitational Radiation and Singularities	p. 126
Collisions of Plane Impulsive Light-Like Signals	p. 131
Khan-Penrose Solution	p. 131
Colliding Plane Impulsive Gravitational Waves: The General Case	p. 138
Plane Impulsive Light-Like Signal Collisions: Some Non-Interacting Examples	p. 153
Impulsive Light-Like Signals in Alternative Theories of Gravity	p. 163
Scalar-Tensor Theories of Gravitation	p. 163
Einstein-Cartan Theory of Gravitation	p. 170
Einstein-Gauss-Bonnet Theory of Gravitation	p. 173
Notation	p. 179
Singular Hypersurfaces: The Non-Null Case	p. 181
Bibliography	p. 187
Table of Contents provided by Rittenhouse. All Rights Reserved.

Singular Null Hypersurfaces In General Relativity

Light-like Signals From Violent Astrophysical Events

At a Glance

Hardcover

Industry Reviews

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Defective items

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