Advanced General Relativity : Gravity Waves, Spinning Particles, and Black Holes
Claude. Barrabès
Bok Engelsk 2013 · Electronic books.
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Utgitt | Oxford : Oxford University Press , 2013
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Omfang | 1 online resource (153 p.)
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Opplysninger | Description based upon print version of record.. - Cover; Contents; 1 Minkowskian space-time; 1.1 Lorentz tansformations; 1.2 Non-singular and singular Lorentz transformations; 1.3 Infinitesimal Lorentz transformations; 1.4 Geometrical construction of a gravitational wave; 2 Plane gravitational waves; 2.1 From linear approximation to colliding waves; 2.2 Electromagnetic shock waves; 2.3 Gravitational shock waves; 2.4 High-frequency gravity waves; 3 Equations of motion; 3.1 Motivation; 3.2 Example of a background space-time; 3.3 Equations of motion of a Reissner-Nordstrom particle in first approximation. - 3.4 Background space-time for a Kerr particle3.5 Equations of motion of a Kerr particle in first approximation; 3.6 Spinning test particles; 4 Inhomogeneous aspects of cosmology; 4.1 Plane-fronted gravitational waves with a cosmological constant; 4.2 Perturbations of isotropic cosmologies; 4.3 Gravitational waves; 4.4 Cosmic background radiation; 5 Black holes; 5.1 Introduction: Basic properties of black holes; 5.2 Collapsing null shells and trapped surface formation; 5.3 Scattering properties of high-speed Kerr black holes; 5.4 Inside the black hole. - 5.5 Metric fiuctuations and Hawking radiation6 Higher dimensional black holes; 6.1 Brief outline of D-dimensional black holes; 6.2 Gibbons-Penrose isoperimetric inequality and the hoop conjecture in D dimensions; 6.3 Light-like boost of higher dimensional black holes; Appendix A Notation; Appendix B Transport law for k along r =0; Appendix C Some useful scalar products; References; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R; S; T; U; V; w; Z. - This volume covers mainstream topics at research level involving gravitational waves, spinning particles, and black holes suitable for graduates and early postgraduates exploring avenues into research in general relativity.
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ISBN | 9780199680696
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