On graviton production in braneworld cosmology

Abstract

We study braneworlds in a five dimensional bulk, where cosmological expansion is mimicked by motion through AdS${}_5$. We show that the five dimensional graviton reduces to the four dimensional one in the late time approximation of such braneworlds. Inserting a fixed regulator brane far from the physical brane, we investigate quantum graviton production due to the motion of the brane. We show that the massive Kaluza-Klein modes decouple completely from the massless mode and they are not generated at all in the limit where the regulator brane position goes to infinity. In the low energy limit, the massless four dimensional graviton obeys the usual 4d equation and is therefore also not generated in a radiation-dominated universe.

9 pages, minor changes, references corrected

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• A Discussion on Massive Gravitons and Propagating Torsion in Arbitrary Dimensions
• A New Fate of a Warped 5D FRW Model with a U(1) Scalar Gauge Field
• Initial Kaluza-Klein fluctuations and inflationary gravitational waves in braneworld cosmology
• Massless and massive graviton spectra in anisotropic dilatonic braneworld cosmologies
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