paper

Probing Compactified Extra Dimensions with Gravitational Waves

arXiv:2004.03051 · doi:10.1103/PhysRevD.103.044031

Abstract

We study the effect of compact extra dimensions on the gravitational wave luminosity and waveform. We consider a toy model, with a compactified fifth dimension, and matter confined on a brane. We work in the context of five dimensional () general relativity, though we do make connections with the corresponding Kaluza-Klein effective theory. We show that the luminosity of gravitational waves emitted in gravity by a binary with the same characteristics (same masses and separation distance) as a binary is 20.8\% less relative to the case, to leading post-Newtonian order. The phase of the gravitational waveform differs by 26\% relative to the case, to leading post-Newtonian order. Such a correction arises mainly due to the coupling between matter and dilaton field in the effective picture and agrees with previous calculations when we set black holes' scalar charges to be those computed from the Kaluza-Klein reduction. The above corrections to the waveform and the luminosity are inconsistent with the gravitational-wave and binary pulsar observations and thus they effectively rule out the possibility of such a simple compactified higher dimensions scenario. We also comment on how our results change if there are several compactified extra dimensions, and show that the discrepancy with general relativity only increases.

arXiv comment33 pages, 1 figure, updated references, expanded discussion

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