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Using the Einstein gravitation theory we show how to obtain the basic equations which predict the gravitational waves. This paper was written to graduate and post-graduate students of Physics. We deduce the equations didactically following…

General Relativity and Quantum Cosmology · Physics 2010-01-15 M. Cattani

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

A class of solutions of the gravitational field equations describing vacuum spacetimes outside rotating cylindrical sources is presented. A subclass of these solutions corresponds to the exterior gravitational fields of rotating cylindrical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bahram Mashhoon , James C. McClune , Enrique Chavez , Hernando Quevedo

Allowing for the possibility of extra dimensions, there are two paradigms: either the extra dimensions are hidden from observations by being compact and small as in Kaluza-Klein scenarios, or the extra dimensions are large/non-compact and…

General Relativity and Quantum Cosmology · Physics 2024-01-12 Yuchen Du , Diana Vaman , Kent Yagi

We investigate a linearized tensor-tensor theory of gravity with torsion and a perturbed torsion wave solution is discovered in background Minkowski spacetime with zero torsion. Furthermore, gauge transformations of any perturbed tensor…

General Relativity and Quantum Cosmology · Physics 2008-07-02 Chih-Hung Wang

For the strong gravitational wave model, an explicit transformation is obtained from a privileged coordinate system with a wave variable to a synchronous reference frame with separation of time and space variables. In a synchronous…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Konstantin E. Osetrin , Vladimir Y. Epp , Sergey V. Chervon

Light undergoes perturbation as gravitational waves pass by. This is shown by solving Maxwell's equations in a spacetime with gravitational waves; a solution exhibits a perturbation due to gravitational waves. We determine the perturbation…

General Relativity and Quantum Cosmology · Physics 2021-07-05 Dong-Hoon Kim , Chan Park

We investigate the quantum properties of gravitational waves (GWs) generated by a classical energy-momentum tensor. Treating the GW field as a quantum field coupled to a classical source, we evaluate the expectation value of the GW…

General Relativity and Quantum Cosmology · Physics 2026-04-23 Felix Laga , Teruaki Suyama

We present a set of equations describing the cosmological gravitational wave in a gravity theory with quadratic order gravitational coupling terms which naturally arise in quantum correction procedures. It is known that the gravitational…

General Relativity and Quantum Cosmology · Physics 2014-11-17 H. Noh , J. Hwang

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 consider interactions of exact (i.e., solutions of full nonlinear field equations) gravitational waves with matter by using the Einstein-Boltzmann equation. For a gravitational wave interacting with a system of massless particles, we…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Morteza Mohseni , Saurya Das

We study the generation of gravitational radiation by sources moving in the de Sitter background. Exploiting the maximal symmetry and the conformal flatness of de Sitter space-time we prove that the derivation of this gravitational…

Astrophysics · Physics 2009-10-31 H. J. de Vega , J. Ramirez , N. Sanchez

We calculate the gravitational wave power density emitted by quantum thermal sources. As particular cases, we calculate the emission of gravitational waves from the cosmic microwave background and from stellar sources. We study how treating…

General Relativity and Quantum Cosmology · Physics 2021-04-20 Petar Simidzija , Achim Kempf , Eduardo Martin-Martinez

The interaction between gravitational and electromagnetic radiation has a rather long research history. It is well known, in particular, that gravity-wave distortions can drive propagating electromagnetic signals. Since forced oscillations…

General Relativity and Quantum Cosmology · Physics 2011-09-13 Christos G. Tsagas

We review current best estimates of the strength and detectability of the gravitational waves from a variety of sources, for both ground-based and space-based detectors, and we describe the information carried by the waves.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Curt Cutler , Kip S. Thorne

Gyratonic plane fronted gravitational waves are exact solutions of Einstein's field equations, which correspond to gravitational waves that carry momentum and angular-momentum. Using the definitions of the Hamiltonian formulation of the…

General Relativity and Quantum Cosmology · Physics 2020-03-18 F. L. Carneiro , S. C. Ulhoa , J. F. da Rocha-Neto

A gravitational wave must be nonlinear to be able to transport its own source, that is, energy and momentum. A physical gravitational wave, therefore, cannot be represented by a solution to a linear wave equation. Relying on this property,…

General Relativity and Quantum Cosmology · Physics 2010-03-02 R. Aldrovandi , J. G. Pereira , Roldao da Rocha , K. H. Vu

Gravitational waves provide a novel and powerful way to test astrophysical models of compact objects, early universe processes, beyond the Standard Model particle physics, dark matter candidates, Einstein's theory of General Relativity and…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-03 Mairi Sakellariadou

The propagation of a gravitational wave (GW) through a magnetized plasma is considered. In particular, we study the excitation of fast magnetosonic waves (MSW) by a gravitational wave, using the linearized general-relativistic hydromagnetic…

Astrophysics · Physics 2014-10-13 D. Papadopoulos , N. Stergioulas , L. Vlahos , J. Kuijpers

We present the formalism for the covariant treatment of gravitational radiation in a magnetized environment and discuss the implications of the field for gravity waves in the cosmological context. Our geometrical approach brings to the fore…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Christos G. Tsagas