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Autores principales: Kachelriess, M., Nødtvedt, M. P.
Formato: Preprint
Publicado: 2023
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Acceso en línea:https://arxiv.org/abs/2312.11665
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author Kachelriess, M.
Nødtvedt, M. P.
author_facet Kachelriess, M.
Nødtvedt, M. P.
contents It has been suggested to use seismic detectors on the Moon as a tool to search for gravitational waves in an intermediate frequency range between mHz and Hz. Employing three different spherically symmetric models for the lunar interior, we investigate the response of the Moon to gravitational waves in Einstein and Jordan-Brans-Dicke gravity. We find that the first eigenfrequencies of the different models depend only weakly on the model details, with the fundamental frequency $ν_1$ close to 1\,ms both for spheroidal and toroidal oscillations. In contrast, the resulting displacement varies up to a factor two, being in the range $(2.7-5.6)\times 10^{11}/h_0$ cm for spheroidal oscillations with amplitude $h_0$. Toroidal oscillations are suppressed by a factor $2πνR/c$, both in Einstein gravity and in general scalar-tensor theories.
format Preprint
id arxiv_https___arxiv_org_abs_2312_11665
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Lunar response to gravitational waves
Kachelriess, M.
Nødtvedt, M. P.
General Relativity and Quantum Cosmology
Earth and Planetary Astrophysics
It has been suggested to use seismic detectors on the Moon as a tool to search for gravitational waves in an intermediate frequency range between mHz and Hz. Employing three different spherically symmetric models for the lunar interior, we investigate the response of the Moon to gravitational waves in Einstein and Jordan-Brans-Dicke gravity. We find that the first eigenfrequencies of the different models depend only weakly on the model details, with the fundamental frequency $ν_1$ close to 1\,ms both for spheroidal and toroidal oscillations. In contrast, the resulting displacement varies up to a factor two, being in the range $(2.7-5.6)\times 10^{11}/h_0$ cm for spheroidal oscillations with amplitude $h_0$. Toroidal oscillations are suppressed by a factor $2πνR/c$, both in Einstein gravity and in general scalar-tensor theories.
title Lunar response to gravitational waves
topic General Relativity and Quantum Cosmology
Earth and Planetary Astrophysics
url https://arxiv.org/abs/2312.11665