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The coupling of gravity to matter is explored in the linearized gravity limit. The usual derivation of gravity-matter couplings within the quantum-field-theoretic framework is reviewed. A number of inconsistencies between this derivation of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. D. Speliotopoulos , Raymond Y. Chiao

We study the interaction between gravitational waves and elastic bodies within the framework of relativistic elasticity. Starting from the Lagrangian formulation of relativistic elasticity, we derive the linearized equations governing the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 José Natário , Filipe Nazaré

One of the longstanding problems of modern gravitational physics is the detection of gravitational waves, for which the standard theoretical analysis relies upon the split of the space-time metric into a background metric plus perturbation.…

General Relativity and Quantum Cosmology · Physics 2010-04-19 Roberto Valentino Montaquila

We obtain a new family of exact vacuum solutions to quadratic gravity that describe pp-waves with two-dimensional wave surfaces that can have any prescribed constant curvature. When the wave surfaces are flat we recover the Peres waves…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Sjors Heefer , Lorens F. Niehof , Andrea Fuster

We consider the gravitational radiation in conformal gravity theory. We perturb the metric from flat Mikowski space and obtain the wave equation after introducing the appropriate transformation for perturbation. We derive the effective…

General Relativity and Quantum Cosmology · Physics 2018-08-28 Rong-Jia Yang

The stability of binary orbits can significantly shape the gravity wave signal which future Earth-based interferometers hope to detect. The inner most stable circular orbit has been of interest as it marks the transition from the late…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Janna Levin , Rachel O'Reilly , E. J. Copeland

The investigation of the transverse effect of gravitational waves (GWs) could constitute a further tool to discriminate among several relativistic theories of gravity on the ground. After a review of the TT gauge, the transverse effect of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Corda

Gravitational waves in the presence of a non-minimal curvature-matter coupling are analysed, both in the Newman-Penrose and perturbation theory formalisms. Considering a cosmological constant as a source, the non-minimally coupled…

General Relativity and Quantum Cosmology · Physics 2018-05-03 Orfeu Bertolami , Cláudio Gomes , Francisco S. N. Lobo

We use the basic equations that predict the emission of gravitational waves according to the Einstein gravitation theory to calculate the luminosities and the amplitudes of the waves generated by binary stars, pulsations of neutron stars,…

General Relativity and Quantum Cosmology · Physics 2010-03-11 M. Cattani

Gravitational waves are radiative solutions of space-time dynamics predicted by Einstein's theory of General Relativity. A world-wide array of large-scale and highly sensitive interferometric detectors constantly scrutinizes the geometry of…

General Relativity and Quantum Cosmology · Physics 2019-08-15 Eric Chassande-Mottin

We study the perturbative dynamics of an infinite gravitating Nambu-Goto string within the general-relativistic perturbation framework. We develop the gauge invariant metric perturbation on a spacetime containing a self-gravitating straight…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Kouji Nakamura , Akihiro Ishibashi , Hideki Ishihara

We present the derivation of generic equations describing the long gravity waves in incompressible fluid with decaying effect. We show that in this theory the only restriction to the surface deviation is connected with the stability…

Fluid Dynamics · Physics 2024-11-26 Vladimir I. Kruglov

We investigate the generation of gravitational waves due to the gravitational instability of primordial density perturbations in an early matter-dominated era which could be detectable by experiments such as LIGO and LISA. We use…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-15 Hooshyar Assadullahi , David Wands

Gravitational waves in cylindrically symmetric Einstein gravity are described by an effective energy tensor with the same form as that of a massless Klein- Gordon field, in terms of a gravitational potential generalizing the Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

We derive the exact gravitational wave solutions in a general class of quadratic Poincar\'e gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion and the curvature, including…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Yuri N. Obukhov

In this paper, we discuss the gravitational waves in the context of gauge theory gravity with a negative cosmological constant. The gauge theory gravity is a gravity theory under gauge formulation in the language of geometric algebra. In…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Jianfei Xu

We study gravitational waves to first and second order in amplitude in vacuum asymptotically flat spacetimes. The Einstein equations are solved to first order and these solutions are superposed to form a time-symmetric ingoing and then…

General Relativity and Quantum Cosmology · Physics 2012-07-13 J. Bicak , J. Katz , T. Ledvinka , D. Lynden-Bell

Physics beyond the Standard Model may give rise to first-order phase transitions proceeding via the nucleation of vacuum bubbles, whose subsequent collisions generate gravitational waves (GWs). Their detection would open the possibility of…

High Energy Physics - Phenomenology · Physics 2025-12-03 Katarina Trailović

We present a new approach to gauge-invariant cosmological perturbations at second order, which is also covariant. We examine two cases in particular for a dust Friedman-Lemaitre-Robertson-Walker model of any curvature: we investigate…

Astrophysics · Physics 2014-10-13 Chris Clarkson

It is argued that, in order for the gravitational field to be propagated as a wave, it is necessary for it to satisfy a further set of field equations, in addition to those of Einstein and Hilbert, and these equations mean there is a…

General Relativity and Quantum Cosmology · Physics 2007-07-03 Trevor W. Marshall
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