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We determine the possible gravitational wave polarizations in two general classes of teleparallel gravity theories, using the metric and symmetric teleparallel geometries. For this purpose we apply the Newman-Penrose formalism, and find…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Manuel Hohmann

We construct a general relativity formula for the law of gravity for material bodies. The formula contains three numeric parameters that are to be determined experimentally. If they are chosen from symmetry considerations, then the theory…

Mathematical Physics · Physics 2007-05-23 N. N. Chaus

In this article, spatially-structured gravitational waves are investigated. Drawing upon analogies between electrodynamics and general relativity, a new gauge is found. We investigate the polarization and degrees of freedom of the resulting…

Optics · Physics 2016-11-23 James Strohaber

The teleparallel equivalent of higher order Lagrangians like $L_{\Box R}=-R+a_{0}R^{2}+a_{1}R\Box R$ can be obtained by means of the boundary term $B=2\nabla_{\mu}T^{\mu}$. In this perspective, we derive the field equations in presence of…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Salvatore Capozziello , Maurizio Capriolo , Loredana Caso

The Lagrangian formulation for the irrotational wave motion is straightforward and follows from a Lagrangian functional which is the difference between the kinetic and the potential energy of the system. In the case of fluid with constant…

Fluid Dynamics · Physics 2024-06-04 Conor T. Curtin , Rossen I. Ivanov

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

This paper is a review of a previous research on gravitational waves from the R^-1 high order theory of gravity. It is shown that a massive scalar mode of gravitational waves from the R^-1 theory generates a longitudinal force in addition…

Astrophysics · Physics 2017-08-23 Christian Corda , Maria Felicia De Laurentis

These notes address the planar gravitational wave solutions of general relativity in empty space-time, and analyze the motion of test particles in the gravitational wave field. Next we consider related solutions of the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. van Holten

Quadratic curvature gravity equations are projected to a complex null coframe by using the algebra of exterior forms and expressed in terms of the spinor quantities defined originally by Newman and Penrose. As an application, a new family…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Ahmet Baykal

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 from cosmological phase transitions are novel probes of fundamental physics, making their precise calculation essential for revealing various mysteries of the early Universe. In this work we propose a framework that…

High Energy Physics - Phenomenology · Physics 2024-09-11 Xiao Wang , Chi Tian , Csaba Balázs

We investigate the axial vector torsion-spin coupling effects in the framework of the Poincar\'e gauge theory of gravity with the general Yang-Mills type Lagrangian. The dynamical equations for the ``electric'' and ``magnetic'' components…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Mariya Iv. Trukhanova , Pavel Andreev , Yuri N. Obukhov

We give a brief review on the recent development of gravitational waves in extra-dimensional theories of gravity. Studying extra-dimensional theories with gravitational waves provides a new way to constrain extra dimensions. After a flash…

General Relativity and Quantum Cosmology · Physics 2019-07-29 Hao Yu , Zi-Chao Lin , Yu-Xiao Liu

Teleparallel theory of gravity and its modifications have been studied extensively in literature. However, gravitational waves has not been studied enough in the framework of teleparallelism. In the present study, we discuss gravitational…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Habib Abedi , Salvatore Capozziello

We investigate perturbative aspects of gravity with a general F(R) Lagrangian, as well as nonperturbative dilatonic solutions. For the first part, we are interested in stability and the definition of asymptotic charges. The main result of…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , B. Carneiro da Cunha , R. Menezes , A. Yu. Petrov

We develop a fully gauge invariant analysis of gravitational wave polarizations in metric f(R) gravity with a particular focus on the modified Starobinsky model, whose constant curvature solution provides a natural deSitter background for…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Ramesh Radhakrishnan , David McNutt , Delaram Mirfendereski , Alejandro Pinero , Eric Davis , William Julius , Gerald Cleaver

We show that gravitational waves can act as waveguides for electromagnetic radiation, that is if the latter is initially aligned with the gravitational waves, then the alignment will survive during the propagation. The analysis is performed…

General Relativity and Quantum Cosmology · Physics 2022-10-21 A. A. Kocharyan , M. Samsonyan , V. G. Gurzadyan

Within the framework of relativistic theory of gravitation the exact spherically-symmetric wave solution is received. It is shown that this solution possesses the positive-definite energy and momentum deriving with the Fock energy-momentum…

General Physics · Physics 2012-12-04 A. A. Leonovich , Yu. P. Vyblyi

The detection of gravitational waves by the Laser Interferometer Gravitational-Wave Observatory opens a new era to use gravitational waves to test alternative theories of gravity. We investigate the polarizations of gravitational waves in…

General Relativity and Quantum Cosmology · Physics 2018-04-02 Yungui Gong , Shaoqi Hou

Gravitational waves sourced by amplified scalar perturbations are a common prediction across a wide range of cosmological models. These scalar curvature fluctuations are inherently nonlinear and typically non-Gaussian. We argue that the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-10 A. J. Iovino , S. Matarrese , G. Perna , A. Ricciardone , A. Riotto
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