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Singular Null Hypersurfaces In General Relativity : Light-like Signals From Violent Astrophysical Events - Peter A. Hogan

Singular Null Hypersurfaces In General Relativity

Light-like Signals From Violent Astrophysical Events

Hardcover

Published: 1st December 2003
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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.

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

Prefacep. vii
Introductionp. 1
Synge's Modelp. 1
Penrose's Cut and Paste Approachp. 4
Generalized Lorentz Transformationsp. 9
General Description of an Impulsive Light-Like Signalp. 13
Distributional Algorithmp. 14
Transverse Curvature Algorithmp. 17
Splitting the Signal into a Shell and a Gravitational Wavep. 21
An Example of a Plane Fronted Light-Like Signalp. 23
Illustrations and Implications of the Bianchi Identitiesp. 29
Abrupt Changes in Multipole Momentsp. 29
Impulsive Light-Like Signals as Recoil Effects: Electromagnetic Examplep. 40
Impulsive Light-Like Signals as Recoil Effects: Gravitational Examplep. 49
Interaction of Impulsive Light-Like Signals with Matterp. 54
Implications of the Bianchi Identitiesp. 59
Theory of the Detection of Impulsive Light-Like Signalsp. 68
Light-Like Boosts of Gravitating Bodiesp. 75
Introduction: Light-Like Boost of the Coulomb Fieldp. 75
Boosting an Isolated Gravitating Sourcep. 79
Light-Like Boost of the Kerr Fieldp. 91
Deflection of Highly Relativistic Particles in the Kerr Fieldp. 98
The Exceptional Case of a Cosmic Stringp. 103
Spherically Symmetric Null Shellsp. 109
Properties and Examples of Non-Stationary Spherical Null Shellsp. 109
Horizon-Straddling Null Shellsp. 116
Colliding Spherical Null Shellsp. 120
Gravitational Collapse, Gravitational Radiation and Singularitiesp. 126
Collisions of Plane Impulsive Light-Like Signalsp. 131
Khan-Penrose Solutionp. 131
Colliding Plane Impulsive Gravitational Waves: The General Casep. 138
Plane Impulsive Light-Like Signal Collisions: Some Non-Interacting Examplesp. 153
Impulsive Light-Like Signals in Alternative Theories of Gravityp. 163
Scalar-Tensor Theories of Gravitationp. 163
Einstein-Cartan Theory of Gravitationp. 170
Einstein-Gauss-Bonnet Theory of Gravitationp. 173
Notationp. 179
Singular Hypersurfaces: The Non-Null Casep. 181
Bibliographyp. 187
Table of Contents provided by Rittenhouse. All Rights Reserved.

ISBN: 9789812387370
ISBN-10: 9812387374
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 204
Published: 1st December 2003
Publisher: World Scientific Publishing Co Pte Ltd
Country of Publication: SG
Dimensions (cm): 22.86 x 15.24  x 2.54
Weight (kg): 0.51