Quantum-mechanical generation of gravitational waves in braneworld

Abstract

We study the quantum-mechanical generation of gravitational waves during inflation on a brane embedded in a five-dimensional anti-de Sitter bulk. To make the problem well-posed, we consider the setup in which both initial and final phases are given by a de Sitter brane with different values of the Hubble expansion rate. Assuming that the quantum state is in a de Sitter invariant vacuum in the initial de Sitter phase, we numerically evaluate the amplitude of quantum fluctuations of the growing solution of the zero mode in the final de Sitter phase. We find that the vacuum fluctuations of the initial Kaluza-Klein gravitons as well as of the zero mode gravitons contribute to the final amplitude of the zero mode on small scales, and the power spectrum is quite well approximated by what we call the rescaled spectrum, which is obtained by rescaling the standard four-dimensional calculation following a simple mapping rule. Our results confirm the speculation raised in Ref. \cite{Kobayashi:2003cn} before.

11 pages, 11 figures

References in corpus (6)

• Scalar perturbations from brane-world inflation
• Late time behavior of cosmological perturbations in a single brane model
• Evolution of gravitational waves in the high-energy regime of brane-world cosmology
• Quantization of scalar perturbations in brane-world inflation
• Multiple-scales analysis of cosmological perturbations in brane-worlds
• Leading order corrections to the cosmological evolution of tensor perturbations in braneworld

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• Initial Kaluza-Klein fluctuations and inflationary gravitational waves in braneworld cosmology
• Scalar perturbations in braneworld cosmology
• Primordial perturbations from slow-roll inflation on a brane
• Numerical study of curvature perturbations in a brane-world inflation at high-energies
• Brane-world inflation: slow-roll corrections to the spectral index
• Dissipation and nonlocality in a general expanding braneworld universe
• Scalar cosmological perturbations in the Gauss-Bonnet braneworld
• Graviton production in anti-de Sitter braneworld cosmology: A fully consistent treatment of the boundary condition
• Wronskian Formulation of the Spectrum of Curvature Perturbations