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We study second order gravitational perturbations on plane wave spacetimes from both the metric and curvature perturbation points of view. For the former, we explicitly use the isometries of the background to introduce tensor oscillator…

General Relativity and Quantum Cosmology · Physics 2025-09-05 Kwinten Fransen , David Pereñiguez , Jaime Redondo-Yuste

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

In some modified theories of gravity, gravitational waves can contain up to six different polarizations, which can travel at speeds different from that of light. Searches for these different polarizations in gravitational wave data are…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Kristen Schumacher , Nicolas Yunes , Kent Yagi

We study interaction of inertial waves with geostrophic flow in a rapidly rotating fluid system. In accordance with experimental conditions in [1, 2], we consider inertial waves, which were excited by a source being near side boundary of…

Fluid Dynamics · Physics 2025-10-02 Nikolay A. Ivchenko , Sergey S. Vergeles

A general linear gauge-invariant equation for dispersive gravitational waves (GWs) propagating in matter is derived. This equation describes, on the same footing, both the usual tensor modes and the gravitational modes strongly coupled with…

General Relativity and Quantum Cosmology · Physics 2022-08-12 Deepen Garg , I. Y. Dodin

We have recently derived a manifestly covariant evolution law, under the geometrical optics approximation of the vacuum Maxwell's equations, for the electric field along null geodesics in a general spacetime, relative to an arbitrary set of…

General Relativity and Quantum Cosmology · Physics 2021-08-27 João C. Lobato , Isabela S. Matos , Lucas T. Santana , Ribamar R. R. Reis , Maurício O. Calvão

The cosmological stochastic gravitational-wave background produced by the mildly non-linear evolution of density fluctuations is analyzed, in the frame of an Einstein-de Sitter model, by means of a fully relativistic perturbation expansion…

Astrophysics · Physics 2007-05-23 Sabino Matarrese , Silvia Mollerach

We study the degrees of freedom of the metric in a general class of higher derivative gravity models, which are interesting in the context of quantum gravity as they are (super)renormalizable. First, we linearize the theory for a flat…

General Relativity and Quantum Cosmology · Physics 2019-04-05 Patric Hölscher

We present a systematic theoretical framework for investigating first-order electromagnetic (EM) perturbations induced by gravitational waves (GWs). Beginning with the covariant Maxwell equations, we derive the complete first-order…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Lingyue Lou , Haorong Wu , Xi-Long Fan

Recently, Deser, Jackiw and Pi have shown that three-dimensional conformal gravity with a source given by a conformally coupled scalar field admits pp wave solutions. In this letter, we consider this model with a self-interacting potential…

High Energy Physics - Theory · Physics 2016-08-16 Eloy Ayón-Beato , Mokhtar Hassaïne

Since the main open problem of contemporary physics is to find a unified description of the four interactions, we present a possible scenario which, till now only at the classical level, is able to englobe experiments ranging from…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luca Lusanna

Gravitational waves with parallel rays are known to have remarkable properties: Their orbit space of null rays possesses the structure of a non-relativistic spacetime of codimension-one. Their geodesics are in one-to-one correspondence with…

High Energy Physics - Theory · Physics 2016-02-22 Xavier Bekaert , Kevin Morand

Gravitational waves are investigated in Intrinsic Time Geometrodynamics. This theory has a non-vanishing physical Hamiltonian generating intrinsic time development in our expanding universe, and four-covariance is explicitly broken by…

General Relativity and Quantum Cosmology · Physics 2018-09-11 Eyo Eyo Ita , Chopin Soo , Hoi-Lai Yu

We discuss a gauge invariant gravity model in a non-Riemannian geometry in which the curvature and the torsion both are zero, the nonmetricity is nonzero. We also argue that only a metric ansatz is enough to start finding solutions to the…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Muzaffer Adak

We study the decay of gravitational waves into dark energy fluctuations $\pi$, through the processes $\gamma \to \pi\pi$ and $\gamma \to \gamma \pi$, made possible by the spontaneous breaking of Lorentz invariance. Within the EFT of Dark…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-18 Paolo Creminelli , Matthew Lewandowski , Giovanni Tambalo , Filippo Vernizzi

In this paper we construct negatively curved Einstein spaces describing gravitational waves having a solvegeometry wave-front (i.e., the wave-fronts are solvable Lie groups equipped with a left-invariant metric). Using the Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sigbjorn Hervik

In this paper we explore generalizations of metric structures of the gravitational wave type to geometries containing an independent connection. The aim is simply to establish a new category of connections compatible, according to some…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Alejandro Jiménez-Cano

Recently Harada has proposed a gravitational theory which is of third order in the derivatives of the metric tensor. This has attracted some attention particularly as it predicts a late-time transition from cosmological decelaration to…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Alan Barnes

The gravitational wave solutions obtained from a perturbation about conformally flat backgrounds in Einstein gravity are investigated. A perturbation theory analysis of the Lesame, Ellis and Dunsby results, based on a covariant approach,…

Astrophysics · Physics 2008-02-03 J. W. Moffat

Gravitational waves are inevitably produced by second order terms in cosmological perturbation theory. Most notably, the so-called induced gravitational waves are a window to the small scales part of the primordial spectrum of fluctuations…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Guillem Domènech