Perturbations of brane worlds

Abstract

We consider cosmological models where the universe, governed by Einstein's equations, is a piece of a five dimensional double-sided anti-de Sitter spacetime (that is, a "$Z_2$-symmetric bulk") with matter confined to its four dimensional Robertson-Walker boundary or "brane". We study the perturbations of such models. We use conformally minkowskian coordinates to disentangle the contributions of the bulk gravitons and of the motion of the brane. We find the restrictions put on the bulk gravitons when matter on the brane is taken to be a scalar field and we solve in that case the brane perturbation equations.

19 pages, no figures, RevTex, version to appear in Phys.Rev.D; minor changes in chap.V, polarisation tensor at page 13 corrected

References in corpus (23)

• Gravity in the Randall-Sundrum Brane World
• Universal Aspects of Gravity Localized on Thick Branes
• Chaotic inflation on the brane
• Dynamics of Anti-de Sitter Domain Walls
• Linearized Gravity in Brane Backgrounds
• Brane-world cosmology
• General brane cosmologies and their global spacetime structure
• Brane World Cosmology - Gauge-Invariant Formalism for Perturbation
• Gravitational waves from inflation on the brane
• Global structure of exact cosmological solutions in the brane world
• Cosmological Expansion in the Randall-Sundrum Brane World Scenario
• Dilaton-gravity on the brane
• Brane versus shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories
• Cosmological Perturbations in Brane-World Theories: Formalism
• Charged Brane-World Black Holes
• Brane cosmological perturbations
• Evolution of Cosmological Perturbations in the Brane World
• Density perturbations in the brane-world
• Perturbation of junction condition and doubly gauge-invariant variables
• Graviton Propagators, Brane Bending and Bending of Light in Theories with Quasi-Localized Gravity
• Consistent Linearized Gravity in Brane Backgrounds
• Initial conditions for hybrid inflation
• Linearized Gravity about a Brane

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• Bulk Gravitational Field and Cosmological Perturbations on the Brane
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