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Main Authors: Brizuela, David, de Cesare, Marco, Oficial, Araceli Soler
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.11526
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author Brizuela, David
de Cesare, Marco
Oficial, Araceli Soler
author_facet Brizuela, David
de Cesare, Marco
Oficial, Araceli Soler
contents We carry out a detailed analytical investigation of the propagation of gravitational waves in ghost-free bimetric gravity in a late-time de Sitter epoch. In this regime, the dynamical equations for the massless and massive graviton modes can be decoupled and solved exactly. We provide uniform approximations for the modes in terms of elementary functions, which are valid on all scales and for all viable mass windows. We identify different dynamical regimes for the system, depending on the propagation properties of the massive graviton, and whether the massless and massive components of the signal can be temporally resolved or not. In each regime, we compute the gravitational-wave luminosity distance as a function of redshift and study the propagation of wave packets. This allows for the derivation of a new observational bound for the ghost-free bimetric theory using the event GW170817. Further, by an explicit computation, we show that the massless and massive components of the signal retain their coherence also in the regime where they can be temporally resolved, even when couplings to incoherent matter degrees of freedom are included.
format Preprint
id arxiv_https___arxiv_org_abs_2507_11526
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational wave propagation in bigravity in the late universe
Brizuela, David
de Cesare, Marco
Oficial, Araceli Soler
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We carry out a detailed analytical investigation of the propagation of gravitational waves in ghost-free bimetric gravity in a late-time de Sitter epoch. In this regime, the dynamical equations for the massless and massive graviton modes can be decoupled and solved exactly. We provide uniform approximations for the modes in terms of elementary functions, which are valid on all scales and for all viable mass windows. We identify different dynamical regimes for the system, depending on the propagation properties of the massive graviton, and whether the massless and massive components of the signal can be temporally resolved or not. In each regime, we compute the gravitational-wave luminosity distance as a function of redshift and study the propagation of wave packets. This allows for the derivation of a new observational bound for the ghost-free bimetric theory using the event GW170817. Further, by an explicit computation, we show that the massless and massive components of the signal retain their coherence also in the regime where they can be temporally resolved, even when couplings to incoherent matter degrees of freedom are included.
title Gravitational wave propagation in bigravity in the late universe
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2507.11526