图书简介

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 Schrödinger 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

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