Gravitational waves in warped compactifications

David Andriot (Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8-10/136, Vienna, A-1040, Austria; Theoretical Physics Department, CERN, Geneva 23, 1211, Switzerland) ; Dimitrios Tsimpis (Institut de Physique des Deux Infinis de Lyon, Université de Lyon, UCBL, UMR 5822, CNRS/IN2P3, 4 rue Enrico Fermi, Villeurbanne Cedex, 69622, France)

We study gravitational waves propagating on a warped Minkowski space-time with D − 4 compact extra dimensions. While Kaluza-Klein scales are typically too high for any current detection, we analyse how the warp factor changes the Kaluza-Klein spectrum of gravitational waves. To that end we provide a complete and explicit expression for the warp factor, as well as the Green’s function, on a d-dimensional torus. This expression differs from that of braneworld models and should find further uses in string compactifications. We then evaluate the Kaluza-Klein spectrum of gravitational waves. Our preliminary numerical results indicate not only a deviation from the standard toroidal spectrum, but also that the first masses get lowered due to the warp factor.

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      "value": "We study gravitational waves propagating on a warped Minkowski space-time with D \u2212 4 compact extra dimensions. While Kaluza-Klein scales are typically too high for any current detection, we analyse how the warp factor changes the Kaluza-Klein spectrum of gravitational waves. To that end we provide a complete and explicit expression for the warp factor, as well as the Green\u2019s function, on a d-dimensional torus. This expression differs from that of braneworld models and should find further uses in string compactifications. We then evaluate the Kaluza-Klein spectrum of gravitational waves. Our preliminary numerical results indicate not only a deviation from the standard toroidal spectrum, but also that the first masses get lowered due to the warp factor."
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Published on:
16 June 2020
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2020 (2020)
Issue 6
Pages 1-38
DOI:
https://doi.org/10.1007/JHEP06(2020)100
arXiv:
1911.01444
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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