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We study the gravitational waves in modified Gauss-Bonnet gravity. Applying the metric perturbation around a cosmological background, we obtain explicit expressions for the wave equations. It is shown that the speed of the traceless mode is…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Tomohiro Inagaki , Masahiko Taniguchi

We analyse the speed of gravitational waves in coupled Galileon models with an equation of state $\omega_\phi=-1$ now and a ghost-free Minkowski limit. We find that the gravitational waves propagate much faster than the speed of light…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Philippe Brax , Clare Burrage , Anne-Christine Davis

We make precise the heretofore ambiguous statement that anisotropic stress is a sign of a modification of gravity. We show that in cosmological solutions of very general classes of models extending gravity --- all scalar-tensor theories…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-11 Ippocratis D. Saltas , Ignacy Sawicki , Luca Amendola , Martin Kunz

Using recent experimental results of detection of gravitational waves from the binary black hole signals by Advanced LIGO and Advanced Virgo, we investigate the propagation of gravitational waves in the context of fourth order gravity…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Gaetano Lambiase , Mairi Sakellariadou , Antonio Stabile

By making use of the weak gravitational field approximation, we obtain a linearized solution of the gravitational vacuum field equation in an anisotropic spacetime. The plane-wave solution and dispersion relation of gravitational wave is…

General Relativity and Quantum Cosmology · Physics 2012-04-03 Xin Li , Zhe Chang

Gravitational waves provide a novel and powerful way to test astrophysical models of compact objects, early universe processes, beyond the Standard Model particle physics, dark matter candidates, Einstein's theory of General Relativity and…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-03 Mairi Sakellariadou

The goal of this short report is to summarise some key results based on our previous works on model independent tests of gravity at large scales in the Universe, their connection with the properties of gravitational waves, and the…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-11 Ippocratis D. Saltas , Luca Amendola , Martin Kunz , Ignacy Sawicki

A passing gravitational wave causes a deflection in the apparent astrometric positions of distant stars. The effect of the speed of the gravitational wave on this astrometric shift is discussed. A stochastic background of gravitational…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Deyan P. Mihaylov , Christopher J. Moore , Jonathan Gair , Anthony Lasenby , Gerard Gilmore

Within the standard effective field theory of General Relativity, we show that the speed of gravitational waves deviates, ever so slightly, from luminality on cosmological and other spontaneously Lorentz-breaking backgrounds. This effect…

High Energy Physics - Theory · Physics 2020-03-25 Claudia de Rham , Andrew J. Tolley

We derive the equation of matter density perturbations on sub-horizon scales around a flat Friedmann-Lema\^\i tre-Robertson-Walker background for the general Lagrangian density $f(R,\GB)$ that is a function of a Ricci scalar $R$ and a…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-13 Antonio De Felice , Teruaki Suyama

Alternative theories of gravity predict the presence of massive scalar, vector, and tensor gravitational wave modes in addition to the standard massless spin~2 graviton of general relativity. The deflection and frequency shift effects on…

General Relativity and Quantum Cosmology · Physics 2009-10-29 S. Bellucci , S. Capozziello , M. De Laurentis , V. Faraoni

In general relativity, gravitational waves propagate at the speed of light, and so gravitons are massless. The masslessness can be traced to symmetry under diffeomorphisms. However, another elegant possibility exists: masslessness can…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Alan Kostelecky , Robertus Potting

Gravitational waves propagate at the speed of light in general relativity, because of its special relativistic basis. However, light propagation is linked to the electromagnetic phenomena, with the permittivity and permeability constants as…

General Relativity and Quantum Cosmology · Physics 2018-11-14 C. S. Unnikrishnan , George T. Gillies

We show that for detections of gravitational-wave transients, constraints can be given on physical parameters of the source without using any specific astrophysical models. Relying only on fundamental principles of general relativity, we…

General Relativity and Quantum Cosmology · Physics 2020-06-14 Bence Bécsy , Peter Raffai , Kiranjyot Gill , Tyson B Littenberg , Margaret Millhouse , Marek J Szczepańczyk

Is the graviton massless? This problem was addressed in the literature at a phenomenological level, using modified dispersion relations for gravitational waves, in linearized calculations around flat space. Here, we perform a detailed…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Vitor Cardoso , Gonçalo Castro , Andrea Maselli

Weak field gravitational wave solutions are investigated in Brans-Dicke (BD) theory in the presence of a cosmological constant. In this setting the background geometry is not flat but asymptotically de-Sitter. We investigate the linearised…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Hatice Özer , Özgür Delice

We explore the constraints on dark sector models imposed by the recent observation of coincident gravitational waves and gamma rays from a binary neutron star merger, GW170817. Rather than focusing on specific models as has been considered…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-26 Richard A. Battye , Francesco Pace , Damien Trinh

One of the predictions from simple inflation models is a stochastic background of gravitational waves (or literally what is called the Primordial Gravitational Waves (\textbf{PGW})) with a nearly scale--invariant spectrum. In this work, we…

General Relativity and Quantum Cosmology · Physics 2022-07-19 Taimur Mohammadi , Behrooz Malekolkalami

We derive gravitational waves in a theory with non-local curvature corrections to the Hilbert-Einstein Lagrangian. In addition to the standard two massless tensor modes, with plus and cross polarizations, helicity 2 and angular frequency…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Salvatore Capozziello , Maurizio Capriolo

We first review some aspects of gravitational wave and the thermodynamic expression of Einstein field equations, these achieved conclusions allow people to think of Einstein's gravitational wave as a kind of sound wave in ordinary gas which…

General Relativity and Quantum Cosmology · Physics 2014-06-18 Ming Chen , Yong-Chang Huang
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