Tensor clustering fossils in modified gravity and high-redshift gravitational-wave sound speed

Fuente: arXiv
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Autor principal: Yamauchi, Daisuke
Formato: Preprint
Publicado: 2024
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author Yamauchi, Daisuke
author_facet Yamauchi, Daisuke
contents We investigate the tensor clustering fossils as a possible probe to constrain the theory of gravity, in particular the deviation of the sound speed of gravitational waves from the speed of light at high redshifts. We develop the formalism of the effective Poisson equation to include the novel phenomenological model of the scalar-tensor tidal interactions that are expected to be induced by the modification of the theory of gravity. We show that the tensor clustering fossils can arise from the propagation of gravitational waves, the growth of the large-scale structures, and the second-order contributions from the effective Poisson equation. We construct the small-scale effective Lagrangian from the Horndeski scalar-tensor theory and derive the formula applicable to the tensor clustering fossils in the language of the effective field theory of dark energy. As a demonstration, we apply the formalism to the constraint on the sound speed of gravitational waves in the futuristic survey.
format Preprint
id arxiv_https___arxiv_org_abs_2407_10450
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Tensor clustering fossils in modified gravity and high-redshift gravitational-wave sound speed
Yamauchi, Daisuke
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
We investigate the tensor clustering fossils as a possible probe to constrain the theory of gravity, in particular the deviation of the sound speed of gravitational waves from the speed of light at high redshifts. We develop the formalism of the effective Poisson equation to include the novel phenomenological model of the scalar-tensor tidal interactions that are expected to be induced by the modification of the theory of gravity. We show that the tensor clustering fossils can arise from the propagation of gravitational waves, the growth of the large-scale structures, and the second-order contributions from the effective Poisson equation. We construct the small-scale effective Lagrangian from the Horndeski scalar-tensor theory and derive the formula applicable to the tensor clustering fossils in the language of the effective field theory of dark energy. As a demonstration, we apply the formalism to the constraint on the sound speed of gravitational waves in the futuristic survey.
title Tensor clustering fossils in modified gravity and high-redshift gravitational-wave sound speed
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2407.10450