Gravitational wave cosmology in Einstein-scalar-Gauss-Bonnet gravity

Fuente: arXiv
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Autores principales: Fier, Jared, Han, Henry, Li, Bowen, Lin, Kai, Mukohyama, Shinji, Wang, Anzhong
Formato: Preprint
Publicado: 2025
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author Fier, Jared
Han, Henry
Li, Bowen
Lin, Kai
Mukohyama, Shinji
Wang, Anzhong
author_facet Fier, Jared
Han, Henry
Li, Bowen
Lin, Kai
Mukohyama, Shinji
Wang, Anzhong
contents In the framework of Einstein-scalar-Gauss-Bonnet (EsGB) gravity, we systematically study gravitational waves (GWs), first produced by remote compact astrophysical sources and then propagating through the flat homogeneous and isotropic Universe at cosmic distances before arriving at detectors. Assuming that the speed $c_T$ of the spin-2 graviton is the same as that of photons, we find explicitly the stability conditions of the theory and then obtain the severest observational constraint found so far. In particular, all these conditions and constraints are satisfied, provided that $0 \leq α\dot{f}(ϕ_0) \lesssim 8.97 \times 10^{-24}$ (km), where $α{f}(ϕ)$ denotes the coupling strength between the scalar field $ϕ$ and the Gauss-Bonnet term, an over-dot represents the derivative with respect to the cosmic time, and $ϕ_0$ is the present value of $ϕ$. The trajectories for both spin-2 and spin-0 gravitons and the amplitudes of GWs along the trajectories are explicitly obtained. The amplitude of a spin-2 GW is practically indistinguishable from that of GR, while the spin-0 GWs remain almost constant during radiation- and matter-dominated epochs, and in the dark energy-dominated epoch it is proportional to the physical distance between the source and the observer. A careful analysis shows that the latter is due to the assumption $c_T = 1$. When $c_T \not= 1$ to the extent that is consistent with the stability conditions and observational constraints, the above behavior disappears.
format Preprint
id arxiv_https___arxiv_org_abs_2503_01975
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational wave cosmology in Einstein-scalar-Gauss-Bonnet gravity
Fier, Jared
Han, Henry
Li, Bowen
Lin, Kai
Mukohyama, Shinji
Wang, Anzhong
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
In the framework of Einstein-scalar-Gauss-Bonnet (EsGB) gravity, we systematically study gravitational waves (GWs), first produced by remote compact astrophysical sources and then propagating through the flat homogeneous and isotropic Universe at cosmic distances before arriving at detectors. Assuming that the speed $c_T$ of the spin-2 graviton is the same as that of photons, we find explicitly the stability conditions of the theory and then obtain the severest observational constraint found so far. In particular, all these conditions and constraints are satisfied, provided that $0 \leq α\dot{f}(ϕ_0) \lesssim 8.97 \times 10^{-24}$ (km), where $α{f}(ϕ)$ denotes the coupling strength between the scalar field $ϕ$ and the Gauss-Bonnet term, an over-dot represents the derivative with respect to the cosmic time, and $ϕ_0$ is the present value of $ϕ$. The trajectories for both spin-2 and spin-0 gravitons and the amplitudes of GWs along the trajectories are explicitly obtained. The amplitude of a spin-2 GW is practically indistinguishable from that of GR, while the spin-0 GWs remain almost constant during radiation- and matter-dominated epochs, and in the dark energy-dominated epoch it is proportional to the physical distance between the source and the observer. A careful analysis shows that the latter is due to the assumption $c_T = 1$. When $c_T \not= 1$ to the extent that is consistent with the stability conditions and observational constraints, the above behavior disappears.
title Gravitational wave cosmology in Einstein-scalar-Gauss-Bonnet gravity
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2503.01975