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Both electromagnetic shock-waves and gravitational waves propagate with the speed of light. If they carry significant energy-momentum, this will change the properties of the space-time they propagate through. This can be described in terms…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Bence Racskó , László Árpád Gergely

The one-loop effective potential for a charged scalar field in de Sitter background is studied. We derive an approximate form for the gauge boson propagator with a general covariant gauge-fixing parameter \xi. This expression is used to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bjorn Garbrecht

I find nearly plane-wave solutions for the Gauss-Ampere law for the 4-vector potential, subject to the Lorenz gauge condition, in the spacetime of a plane gravitational plane wave. I assume that the gravitational wave is weak, in the sense…

General Relativity and Quantum Cosmology · Physics 2024-02-05 Carl R. Gwinn

We discuss the possibility of a scalar field being the fundamental description of dark energy. We focus on shift-symmetric scalar-tensor theories since this symmetry potentially avoids some fine-tuning problems. We also restrict attention…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Teodor Borislavov Vasilev , Mariam Bouhmadi-López , Prado Martín-Moruno

We derive an exact analytical solution to the time-dependent Schr\"odinger equation for transmission of a Gaussian wave packet through an arbitrary potential of finite range. We consider the situation where the initial Gaussian wave packet…

Quantum Physics · Physics 2012-05-03 Sergio Cordero , Gaston Garcia-Calderon

We solve the Laplace equation $\Box h_{ij}=0$ describing the propagation of gravitational waves in an expanding background metric with a power law scale factor in the presence of a point mass in the weak field approximation (Newtonian…

General Relativity and Quantum Cosmology · Physics 2016-10-19 I. Antoniou , D. Papadopoulos , L. Perivolaropoulos

In this paper we have constructed a coordinate space (or geometric) Lagrangian for a point particle that satisfies the exact Doubly Special Relativity (DSR) dispersion relation in the Magueijo-Smolin framework. Next we demonstrate how a…

High Energy Physics - Theory · Physics 2008-11-26 Subir Ghosh

In this paper, we study the existence and stability of travelling wave solutions of a kinetic reaction-transport equation. The model describes particles moving according to a velocity-jump process, and proliferating thanks to a reaction…

Analysis of PDEs · Mathematics 2014-08-12 Emeric Bouin , Vincent Calvez , Grégoire Nadin

We investigate shock-wave solutions of the Einstein equations in the case when the speed of propagation is equal to the speed of light. The work extends the shock matching theory of Smoller and Temple, which characterizes solutions of the…

Analysis of PDEs · Mathematics 2007-05-23 Michael Brian Scott

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 prove the existence of global solutions to the Cauchy problem for noncommutative nonlinear wave equations in arbitrary even spatial dimensions where the noncommutativity is only in the spatial directions. We find that for existence there…

High Energy Physics - Theory · Physics 2008-11-26 Bergfinnur Durhuus , Thordur Jonsson

The time delay between gravitational wave signals arriving at widely separated detectors can be used to place upper and lower bounds on the speed of gravitational wave propagation. Using a Bayesian approach that combines the first three…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Neil Cornish , Diego Blas , Germano Nardini

Non-dispersive wave packet for massless fermions is formulated on the basis of squeezed coherent states that are put in a form of common eigenfunction for the Hamiltonian and the helicity operator, starting from the Dirac equation. The wave…

High Energy Physics - Phenomenology · Physics 2012-01-09 Kelin Wang , Zexian Cao

We establish the possibility of Landau damping for gravitational scalar waves which propagate in a non-collisional gas of particles. In particular, under the hypothesis of homogeneity and isotropy, we describe the medium at the equilibrium…

General Relativity and Quantum Cosmology · Physics 2021-01-01 Fabio Moretti , Flavio Bombacigno , Giovanni Montani

We firstly generalize the massive scalar propagator for planar gravitational waves propagating on Minkowski space obtained recently in Ref. [1]. We then use this propagator to study the response of a freely falling Unruh-DeWitt detector to…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Tomislav Prokopec

We study the dependence of the observable stochastic gravitational wave background induced by a first-order phase transition on the global properties of the scalar effective potential in particle physics. The scalar potential can be that of…

High Energy Physics - Phenomenology · Physics 2020-01-06 Mikael Chala , Valentin V. Khoze , Michael Spannowsky , Philip Waite

We consider a general two-dimensional gravity model minimally or nonminimally coupled to a scalar field. The canonical form of the model is elucidated, and a general solution of the equations of motion in the massless case is reviewed. In…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. O. Katanaev

A large class of modified theories of gravity used as models for dark energy predict a propagation speed for gravitational waves which can differ from the speed of light. This difference of propagations speeds for photons and gravitons has…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Hermano Velten , Jose Beltrán Jiménez , Federico Piazza

We propose a phase space method to propagate a quantum wavepacket driven by a strong external field. The method employs the so-called biorthogonal von Neumann basis recently introduced for the calculation of the energy eigenstates of…

Atomic Physics · Physics 2015-06-05 Norio Takemoto , Asaf Shimshovitz , David J. Tannor

We propose a new model-independent measurement strategy for the propagation speed of gravitational waves (GWs) based on strongly lensed GWs and their electromagnetic (EM) counterparts. This can be done in two ways: by comparing arrival…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Xi-Long Fan , Kai Liao , Marek Biesiada , Aleksandra Piorkowska-Kurpas , Zong-Hong Zhu