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Models for the brane-bulk interaction: Toward understanding braneworld cosmological perturbations

2004/03/15 by Pierre Binétruy, Pierre Binetruy, Martin Bucher +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Classical mechanics #Cosmology and Gravitation Theories #Gauge theory #Gravitation #Graviton #Mathematical physics #Noncommutative and Quantum Gravity Theories #Observer (physics) #Physics #Quantum mechanics #Randall–Sundrum model #Theoretical physics #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.70.043509

published as Phys.Rev.D70:043509,2004 · 47 pages, RevTeX (or Latex, etc) with 5 eps figures

arxiv created 2004/03/15 · openalex publication_date 2004/08/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using some simple toy models, we explore the nature of the brane-bulk interaction for cosmological models with a large extra dimension. We are in particular interested in understanding the role of the bulk gravitons, which from the point of view of an observer on the brane will appear to generate dissipation and nonlocality, effects that cannot be incorporated into an effective (3+1)-dimensional Lagrangian field theoretic description. We explicitly work out the dynamics of several discrete systems consisting of a finite number of degrees of freedom on the boundary coupled to a (1+1)-dimensional field theory subject to a variety of wave equations. Systems both with and without time translation invariance are considered and moving boundaries are discussed as well. The models considered contain all the qualitative features of quantized linearized cosmological perturbations for a Randall-Sundrum universe having an arbitrary expansion history, with the sole exception of gravitational gauge invariance, which will be treated in a later paper.

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