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The direct detection of gravitational waves (GWs) is an invaluable new tool to probe gravity and the nature of cosmic acceleration. A large class of scalar-tensor theories predict that GWs propagate with velocity different than the speed of…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Dario Bettoni , Jose María Ezquiaga , Kurt Hinterbichler , Miguel Zumalacárregui

We derive an effective equation and action for the propagation of gravitational waves (GW), encoding the effects of interaction and self-interaction in a time, frequency and polarization dependent effective speed. In terms of an…

General Relativity and Quantum Cosmology · Physics 2024-03-22 Antonio Enea Romano

We derive an effective equation and action for comoving curvature perturbations and gravitational waves (GWs) in terms of a time, momentum and polarization dependent effective speed, encoding the effects of the interaction among metric…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Antonio Enea Romano

Scalar-tensor gravity theories with a nonminimal Gauss-Bonnet coupling typically lead to an anomalous propagation speed for gravitational waves, and have therefore been tightly constrained by multimessenger observations such as…

General Relativity and Quantum Cosmology · Physics 2019-12-18 José Barrientos , Fabrizio Cordonier-Tello , Cristóbal Corral , Fernando Izaurieta , Perla Medina , Eduardo Rodríguez , Omar Valdivia

In testing gravity a model-independent way, one of crucial tests is measuring the propagation speed of a gravitational wave (GW). In general relativity, a GW propagates with the speed of light, while in the alternative theories of gravity…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Atsushi Nishizawa

We present a comprehensive theoretical framework for gravitational wave (GW) propagation and their \textbf{nonlinear backreaction} in $f(R, G)$ modified gravity. By developing a scalar-tensor formulation with two auxiliary fields, we…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Farzad Milani

The effective field theory of dark energy predicts a possible time variation of the propagation speed of gravitational waves (GW) which could be tested with multimessenger astronomy. For this purpose we derive the relation between the…

General Relativity and Quantum Cosmology · Physics 2025-05-15 Antonio Enea Romano

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 report on the diffraction-free propagation of space-time wave packets (STWPs) -- a class of propagation-invariant pulsed beams -- for $\sim\!1$ km in an open-air laser range in a low-turbulence scenario. Making use of $\approx\!100$-fs…

One of the most relevant solutions in any cosmological model concerning the evolution of the universe is the power-law solution. For the scalar-tensor model of dark energy with kinetic and Gauss Bonnet couplings, it is shown that we can…

General Relativity and Quantum Cosmology · Physics 2018-09-05 L. N. Granda , D. F. Jimenez

We use the local momentum space technique to obtain an expansion of the Feynman propagators for scalar field and graviton up to first order in the background curvature. The expressions for the propagators are cross-checked with the past…

High Energy Physics - Theory · Physics 2023-11-07 Sukanta Panda , Abbas Altafhussain Tinwala , Archit Vidyarthi

We prove finite speed of propagation for the multiplicative stochastic wave equation in two and three dimensions which leads us to a global space-time well-posedness result for the cubic nonlinear equation in the analogue of the energy…

Analysis of PDEs · Mathematics 2021-10-18 Immanuel Zachhuber

In this work, we propose a model of Einstein--Gauss-Bonnet gravity coupled with two scalar fields. The two scalar fields are considered to be ``frozen'' or they become non-dynamical by employing appropriate constraints in terms of Lagrange…

General Relativity and Quantum Cosmology · Physics 2023-12-06 E. Elizalde , Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou

Effective field theories (EFT) of dark energy (DE) -- built to parameterise the properties of DE in an agnostic manner -- are severely constrained by measurements of the propagation speed of gravitational waves (GW). However, GW frequencies…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Tessa Baker , Enrico Barausse , Anson Chen , Claudia de Rham , Mauro Pieroni , Gianmassimo Tasinato

It is shown in this note that a class of Lagrangian field theories closely related to the wave-map equation and the Skyrme model obeys the dominant energy condition, and hence by Hawking's theorem satisfies finite speed of propagation. The…

Mathematical Physics · Physics 2010-11-16 Willie Wai-Yeung Wong

In this work we analyze the propagation properties of gravitational waves in the hybrid metric-Palatini gravity theory. We introduce the scalar-tensor representation of the theory to make explicit the scalar degrees of freedom of the theory…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Cláudio Gomes , João Luís Rosa , Miguel A. S. Pinto

The dynamical consequences of a bimetric scalar-tensor theory of gravity with a dynamical light speed are investigated in a cosmological setting. The model consists of a minimally-coupled self-gravitating scalar field coupled to ordinary…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. A. Clayton , J. W. Moffat

We investigate propagation of gravitational waves in the most general teleparallel gravity model with second order field equations around the Minkowski background. We argue that in this case the most general Lagrangian at the first order of…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Manuel Hohmann , Martin Krššák , Christian Pfeifer , Ulbossyn Ualikhanova

In this paper we consider a model of scalar-tensor theory of gravitation in which the scalar field, $\phi$ determines the gravitational coupling G and has a Lagrangian of the form, $\mathcal{L}_{\phi} =-V(\phi)\sqrt{1 -…

General Relativity and Quantum Cosmology · Physics 2008-12-11 Sanil Unnikrishnan , T. R. Seshadri

The propagation speed of the gravitational wave in scalar--Einstein--Gauss-Bonnet (sEGB) gravity is generally different from that of light. Using differential equation conditions for the speed of gravitational waves to coincide with the…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Shin'ichi Nojiri , Sergei. D. Odintsov
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