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It is shown that the dynamical evolution of linear perturbations on a static space-time is governed by a constrained wave equation for the extrinsic curvature tensor. The spatial part of the wave operator is manifestly elliptic and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. Sarbach , M. Heusler , O. Brodbeck

We study the linearized equations describing the propagation of gravitational waves through dust. In the leading order of the WKB approximation, dust behaves as a non-dispersive, non-dissipative medium. Taking advantage of these features,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 G. Bimonte , S. Capozziello , V. Man'ko , G. Marmo

Gravitational waves can teach us not only about sources and the environment where they were generated, but also about the gravitational interaction itself. Here we study the features of gravitational radiation produced during the scattering…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Seth Hopper , Vitor Cardoso

Exact solutions are obtained in the quadratic theory of gravity with a scalar field for wave-like models of space-time with spatial homogeneity symmetry and allowing the integration of the equations of motion of test particles in the…

General Relativity and Quantum Cosmology · Physics 2022-03-10 K. E. Osetrin , I. V. Kirnos , E. K. Osetrin , A. E. Filippov

The breaking of an approximate discrete symmetry, the final stages of a first order phase transition, or a post-inflationary biased probability distribution for scalar fields are possible cosmological scenarios characterized by the presence…

Astrophysics · Physics 2009-10-30 Marcelo Gleiser , Ronald Roberts

Physical properties of the quantum gravitational vacuum state are explored by solving a lattice version of the Wheeler-DeWitt equation. The constraint of diffeomorphism invariance is strong enough to uniquely determine the structure of the…

High Energy Physics - Theory · Physics 2015-06-12 Herbert W. Hamber , Reiko Toriumi , Ruth M. Williams

Perturbation of gravitational fields may be decomposed into scalar,vector and tensor components.In this paper we concern with the evolution of tensor mode perturbations in a spatially closed deSitter background of RW form. It may be thought…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Amir H. Abbassi , J. Khodagholizadeh , Amir M. Abbassi

We describe the properties of evanescent gravitational waves (EGWs)---wave solutions of Einstein equations which decay exponentially in some direction while propagating in another. Evanescent waves are well-known in acoustics and optics and…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-30 Sebastian Golat , Eugene A. Lim , Francisco J. Rodríguez-Fortuño

In vacuum space-times the exterior derivative of a Killing vector field is a two-form that satisfies Maxwell equations without electromagnetic sources. Using the algebraic structure of this two-form we have set up a new formalism for the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Francesc Fayos , Carlos F. Sopuerta

We derive a relation between the two polarization modes of a plane, linear gravitational wave in the second-order approximation. Since these two polarizations are not independent, an initially monochromatic gravitational wave loses its…

General Relativity and Quantum Cosmology · Physics 2011-10-05 Nikodem J. Poplawski

Gravitational waves are a unique probe of the early Universe, as the Universe is transparent to gravitational radiation right back to the end of inflation. In this article, we summarise detection prospects and the wide scope of primordial…

High Energy Physics - Phenomenology · Physics 2024-09-09 Rishav Roshan , Graham White

We prove that, contrary to the situation with time-like and space-like parallel vector fields, there are real gravitational fields satisfying Einsteins equations of gravity and admitting nontrivial light-like parallel vector fields; we…

Mathematical Physics · Physics 2021-04-09 Isidore Mahara , Célestin Kurujyibwami , Venuste Nyagahakwa

We analyze the gravitational radiation emitted from a particle in circular motion around a Schwarzschild black hole using the framework of quantum field theory in curved spacetime at tree level. The gravitational perturbations are written…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi

A method is given which renders indirect detection of strong gravitational waves possible. This is based on the reflection (collision) of a linearly polarized electromagnetic shock wave from (with) a cross polarized impulsive and shock…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mustafa Halilsoy , Ozay Gurtug

Gravitational waves potentially represent our only direct probe of the universe when it was less than one second old. In particular, first-order phase transitions in the early universe can generate a stochastic background of gravitational…

Astrophysics · Physics 2008-11-26 Tina Kahniashvili , Arthur Kosowsky , Grigol Gogoberidze , Yurii Maravin

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

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

The geometry of twisted null geodesic congruences in gravitational plane wave spacetimes is explored, with special focus on homogeneous plane waves. The role of twist in the relation of the Rosen coordinates adapted to a null congruence…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Graham M. Shore

New boundary conditions are imposed on the familiar cylindrical gravitational wave vacuum spacetimes. The new spacetime family represents cylindrical waves in a flat expanding (Kasner) universe. Space sections are flat and nonconical where…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert H. Gowdy , B. Douglas Edmonds

We consider the scattering of the gravitational waves by the weak gravitational fields of lens objects. We obtain the scattered gravitational waveform by treating the gravitational potential of the lens to first order, i.e. using the Born…

Astrophysics · Physics 2009-11-10 Ryuichi Takahashi , Teruaki Suyama , Shugo Michikoshi
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