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Strict measurement of the speed of gravitational wave (GW) is very important for fundamental physics. In this paper, taking cosmological effect into account, we derive a more precise formula for calculating the speed of GW based on GW…

High Energy Astrophysical Phenomena · Physics 2019-07-17 Shuang Du

We analyze the propagation of high-frequency gravitational waves (GW) in scalar-tensor theories of gravity, with the aim of examining properties of cosmological distances as inferred from GW measurements. By using symmetry principles, we…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Gianmassimo Tasinato , Alice Garoffolo , Daniele Bertacca , Sabino Matarrese

Gravitational wave observations offer unique opportunities to probe gravity in the strong and dynamical regime, which was difficult to access previously. We here review two theory-agnostic ways to carry out tests of general relativity with…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Zack Carson , Kent Yagi

Although the general theory of relativity (GR) predicts that gravitational waves (GWs) have exactly the same propagation velocity as electromagnetic (EM) waves, many theories of gravity beyond GR expect otherwise. Accurate measurement of…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Tian-Yong Cao , Ankit Kumar , Shu-Xu Yi

Probing the relative speeds of gravitational waves and light acts as an important test of General Relativity and alternative theories of gravity. Measuring the arrival time of gravitational waves and electromagnetic counterparts can be used…

High Energy Astrophysical Phenomena · Physics 2017-03-08 Thomas E. Collett , David Bacon

We study the cosmological propagation of gravitational waves (GWs) beyond general relativity (GR) across homogeneous and isotropic backgrounds. We consider scenarios in which GWs interact with an additional tensor field and use a…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Jose Maria Ezquiaga , Wayne Hu , Macarena Lagos , Meng-Xiang Lin

We generalize to reduced Horndeski theories of gravity, where gravitational waves (GWs) travel at the speed of light, the expression of a statistically homogeneous and unpolarized stochastic gravitational wave background (SGWB) signal…

General Relativity and Quantum Cosmology · Physics 2022-12-01 João C. Lobato , Isabela S. Matos , Maurício O. Calvão , Ioav Waga

We review the tests of general relativity that will become possible with space-based gravitational-wave detectors operating in the ~0.01mHz - 1Hz low-frequency band. The fundamental aspects of gravitation that can be tested include the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Jonathan R. Gair , Michele Vallisneri , Shane L. Larson , John G. Baker

This review explores modified theories of gravity, particularly $f(R)$ gravity, as extensions to General Relativity (GR) that offer alternatives to dark energy for explaining cosmic acceleration. These models generalize the Einstein-Hilbert…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Rafid H. Dejrah

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this letter…

General Relativity and Quantum Cosmology · Physics 2009-02-16 Christian Corda

Gravitational waves (GWs) provide a new tool to probe the nature of dark energy (DE) and the fundamental properties of gravity. We review the different ways in which GWs can be used to test gravity and models for late-time cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-24 Jose María Ezquiaga , Miguel Zumalacárregui

In this Letter we constrain for the first time both cosmology and modified gravity theories conjointly, by combining the GW and electromagnetic observations of GW170817. We provide joint posterior distributions for the Hubble constant…

General Relativity and Quantum Cosmology · Physics 2020-08-14 S. Mastrogiovanni , D. A. Steer , M. Barsuglia

Within the closed universe, we obtain the amplitude and frequency of gravitational waves in the terms of discrete wave numbers, wave propagation time, and cosmological constant using the deviation equation in the first-order perturbed…

General Relativity and Quantum Cosmology · Physics 2021-05-27 Jafar Khodagholizadeh , Amir H. Abbassi , Ali Vahedi , Komeil Babaei

The cross-correlation of gravitational wave strain with upcoming galaxy surveys probe theories of gravity in a new way. This method enables testing the theory of gravity by combining the effects from both gravitational lensing of…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-01 Suvodip Mukherjee , Benjamin D. Wandelt , Joseph Silk

We use the gravitational wave (GW) events GW170817 and GW190521, together with their proposed electromagnetic counterparts, to constrain cosmological parameters and theories of gravity beyond General Relativity (GR). In particular we…

General Relativity and Quantum Cosmology · Physics 2021-03-03 S. Mastrogiovanni , L. Haegel , C. Karathanasis , I. Magana-Hernandez , D. A. Steer

We consider some specific models of non-minimal matter-geometry coupling theories and investigate the propagation of the gravitational waves in them. Extracting the temporal evolution of the gravitational wave equation within the framework…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Tahereh Azizi , Najibe Borhani , Mojtaba Haghshenas

The dispersion in the speed of gravitational waves is a novel way to test the general theory of relativity and understand whether the origin of cosmic acceleration is due to any alternative theory of gravity. Several alternative theories of…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Adith Praveen , Panchajanya Dey , Suvodip Mukherjee

Gravitational wave (GW) observations are expected to serve as a powerful and independent probe of the expansion history of the universe. By providing direct and calibration-free measurements of luminosity distances through waveform…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-06 Shang-Jie Jin , Ji-Yu Song , Tian-Yang Sun , Si-Ren Xiao , He Wang , Ling-Feng Wang , Jing-Fei Zhang , Xin Zhang

Studies of dark energy at advanced gravitational-wave (GW) interferometers normally focus on the dark energy equation of state $w_{\rm DE}(z)$. However, modified gravity theories that predict a non-trivial dark energy equation of state…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Enis Belgacem , Yves Dirian , Stefano Foffa , Michele Maggiore

Theories of modified gravity suggest that the propagation speed of gravitational wave (GW) $v_g$ may deviate from the speed of light $c$. A constraint can be placed on the difference between $c$ and $v_g$ with a simple method that uses the…

High Energy Astrophysical Phenomena · Physics 2024-08-26 Jin-Hui Rao , Shu-Xu Yi , Lian Tao , Qing-Wen Tang