Coupled bulk and brane fields about a de Sitter brane

Abstract

We consider the evolution of a bulk scalar field in anti-de Sitter (AdS) spacetime linearly coupled to a scalar field on a de Sitter boundary brane. We present results of a spectral analysis of the system, and find that the model can exhibit both bound and continuum resonant modes. We find that zero, one, or two bound states may exist, depending upon the masses of the brane and bulk fields relative to the Hubble length and the AdS curvature scale and the coupling strength. In all cases, we find a critical coupling above which there exists a tachyonic bound state. We show how the 5-dimensional spectral results can be interpreted in terms of a 4-dimensional effective theory for the bound states. We find excellent agreement between our analytic results and the results of a new numerical code developed to model the evolution of bulk fields coupled to degrees of freedom on a moving brane. This code can be used to model the behaviour of braneworld cosmological perturbations in scenarios for which no analytic results are known.

16 pages, 10 figures; minor ammendments to the text, typos corrected including a misprint in Eq. (102), reference added

References in corpus (24)

• An Alternative to Compactification
• Brane World Cosmology - Gauge-Invariant Formalism for Perturbation
• Brane-world creation and black holes
• Cosmological Perturbations in Brane-World Theories: Formalism
• Gauge-invariant gravitational perturbations of maximally symmetric spacetimes
• Evolution of Cosmological Perturbations in the Brane World
• Evolution of cosmological perturbations in a brane-universe
• Brane-world inflation without inflaton on the brane
• Cosmological perturbations in the bulk and on the brane
• Perturbation of junction condition and doubly gauge-invariant variables
• Scalar perturbations from brane-world inflation
• Quantum fluctuations in brane-world inflation without inflaton on the brane
• Evolution of gravitational waves from inflationary brane-world : numerical study of high-energy effects
• Ringing the Randall-Sundrum braneworld: metastable gravity wave bound states
• Braneworld resonances
• Massive scalar states localized on a de Sitter brane
• Evolution of gravitational waves in the high-energy regime of brane-world cosmology
• Delocalization of brane gravity by a bulk black hole
• Slow-roll corrections to inflaton fluctuations on a brane
• Causal Structure and Gravitational Waves in Brane World Cosmology
• Coupled boundary and bulk fields in anti-de Sitter
• Gravitational waves and cosmological braneworlds: a characteristic evolution scheme
• Numerical study of curvature perturbations in a brane-world inflation at high-energies
• The Massive Klein-Gordon Field Coupled to a Harmonic Oscillator at the Boundary

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• Brane-world inflation: slow-roll corrections to the spectral index
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