Bulk inflaton shadows of vacuum gravity

Abstract

We introduce a $(5+m)$-dimensional vacuum description of five-dimensional bulk inflaton models with exponential potentials that makes analysis of cosmological perturbations simple and transparent. We show that various solutions, including the power-law inflation model recently discovered by Koyama and Takahashi, are generated from known $(5+m)$-dimensional vacuum solutions of pure gravity. We derive master equations for all types of perturbations, and each of them becomes a second order differential equation for one master variable supplemented by simple boundary conditions on the brane. One exception is the case for massive modes of scalar perturbations. In this case, there are two independent degrees of freedom, and in general it is difficult to disentangle them into two separate sectors.

22 pages, 4 figures, revtex; v2: references added

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Cited by in corpus (14)

• Braneworld resonances
• The spectrum of gravitational waves in Randall-Sundrum braneworld cosmology
• Brane cosmological solutions in six-dimensional warped flux compactifications
• Quantum-mechanical generation of gravitational waves in braneworld
• Local conservation law and dark radiation in cosmological braneworld
• Bulk gravitational field and dark radiation on the brane in dilatonic brane world
• Creation of a brane world with a bulk scalar field
• Leading order corrections to the cosmological evolution of tensor perturbations in braneworld
• Linearized Israel Matching Conditions for Cosmological Perturbations in a Moving Brane Background
• Low Energy Effective Action for Horava-Witten Cosmology
• The Fate of Unstable Gauge Flux Compactifications
• Regular collision of dilatonic inflating branes
• Cosmic No Hair for Braneworlds with a Bulk Dilaton Field
• Massless and massive graviton spectra in anisotropic dilatonic braneworld cosmologies