Brane-localized Gravity

Brane-localized Gravity

By: Philip D. Mannheim (author)Hardback

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Description

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is provided for both students and workers in the field, with a significant amount of the material being previously unpublished.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.

Contents

* Foreword by Alan H Guth * Why Higher Dimensions are Interesting * The Randall-Sundrum Set-Up * General Structure of Anti-de Sitter Spacetimes * General Properties of Embeddings * The Israel Junction Conditions * The Newtonian Limit of an Embedded Brane * Embedding of Static Robertson-Walker Branes and Negative Pressure * Embedding of de Sitter and Anti-de Sitter Branes in AdS5 * Embedding of Non-Static Robertson-Walker Branes in AdS5 * Embedding Robertson-Walker Brane Worlds in M(4,2) * Null Geodesics of AdS5 Bulks Containing Robertson-Walker Branes * Generalized Einstein Equations on the Brane * General Structure of Brane-World Gravitational Fluctuations * Transverse-Traceless M4 Fluctuation Modes * Transverse-Traceless dS4/AdS4 Fluctuation Modes * Normalization of Fluctuation Modes and Curved Space Gauss's Law * Fluctuations around an Embedded Positive-Tension Minkowski Brane * Fluctuations around an Embedded Negative-Tension Minkowski Brane * Fluctuations around an Embedded Positive-Tension AdS Brane * Equivalent Schrodinger Equation Treatment of the Fluctuation Equation * Fluctuations around an Embedded Positive-Tension dS Brane * Dynamically Generated Domain Walls and the Brane World * Appendices: * Gauge Invariance of the Fluctuation Equation * Perturbative Weyl Tensor * Transverse and Transverse-Traceless Projection * Fluctuation Energy-Momentum Tensor * Retarded Propagators for Pure AdS and Pure dS Spacetimes * Embedding M(2,1) Branes in AdS4

Product Details

  • ISBN13: 9789812565617
  • Format: Hardback
  • Number Of Pages: 356
  • ID: 9789812565617
  • ISBN10: 9812565612

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