Brane-localized Gravity

By: Philip David Mannheim

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Hardcover | 20 October 2005

At a Glance

Hardcover
356 Pages

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24.77 x 16.51 x 2.54

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This timely and valuable book provides a detailed pedagogical introduction and treatment of the brane-localized gravity program of Randall and Sundrum, in which gravitational signals are able to localize around our four-dimensional world in the event that it is a brane embedded in an infinitely-sized, higher dimensional anti-de Sitter bulk space. A completely self-contained development of the material needed for brane-world studies is provided for both students and workers in the field, with a significant amount of the material being previously unpublished. Particular attention is given to issues not ordinarily treated in the brane-world literature, such as the completeness of tensor gravitational fluctuation modes, the causality of brane-world propagators, and the status of the massless graviton fluctuation mode in brane worlds in which it is not normalizable.

Industry Reviews

"In this book Philip Mannheim has presented a self-contained and fully-detailed description of brane-world physics. It is not just a summary of the literature, but it is truly an elaboration on the literature. All of the derivations are laid out in a consistent formalism and in complete detail. The book should be a valuable resource to anyone who is interested in following the progress of this exciting area of theoretical physics."

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Non-Fiction Science Physics Classical Mathematics Gravity Particle & High-Energy Physics Applied Physics Geophysics Atomic & Molecular Physics Booktopia Publisher Services World Scientific Publishing

Why higher dimensions are interesting	p. 1
The Randall-Sundrum set-up	p. 7
General structure of anti-de Sitter spacetimes	p. 15
General properties of embeddings	p. 23
The Israel junction conditions	p. 27
The Newtonian limit of an embedded brane	p. 33
Embedding of static Robertson-Walker branes and negative pressure	p. 39
Embedding of de Sitter and anti-de Sitter branes in AdS[subscript 5]	p. 45
Embedding of non-static Robertson-Walker branes in AdS[subscript 5]	p. 49
Embedding Robertson-Walker brane worlds in M(4,2)	p. 55
Null geodesics of AdS[subscript 5] bulks containing Robertson-Walker branes	p. 65
Generalized Einstein equations on the brane	p. 71
General structure of brane-world gravitational fluctuations	p. 81
Transverse-traceless M[subscript 4] fluctuation modes	p. 89
Transverse-traceless dS[subscript 4]/AdS[subscript 4] fluctuation modes	p. 99
Normalization of fluctuation modes and curved space Gauss's law	p. 109
Fluctuations around an embedded positive-tension Minkowski brane	p. 133
Fluctuations around an embedded negative-tension Minkowski brane	p. 167
Fluctuations around an embedded positive-tension AdS brane	p. 189
Equivalent Schrodinger equation treatment of the fluctuation equation	p. 229
Fluctuations around an embedded positive-tension dS brane	p. 235
Dynamically generated domain walls and the brane world	p. 249
Gauge invariance of the fluctuation equation	p. 261
Perturbative Weyl tensor	p. 265
Transverse and transverse-traceless projection	p. 269
Fluctuation energy-momentum tensor	p. 289
Retarded propagators for pure AdS and pure dS spacetimes	p. 299
Embedding M(2,1) branes in AdS[subscript 4]	p. 313
Table of Contents provided by Blackwell. All Rights Reserved.

Brane-localized Gravity

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Hardcover

Industry Reviews

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