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The proper-time method for constructing perturbative dynamical gravitational fields is presented. Using the proper-time method, a perturbative analytical model of gravitational waves against the backdrop of an exact wave solution of…

广义相对论与量子宇宙学 · 物理学 2026-04-24 Konstantin Osetrin

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…

广义相对论与量子宇宙学 · 物理学 2024-02-14 Konstantin E. Osetrin , Vladimir Y. Epp , Sergey V. Chervon

Exact models of primordial gravitational waves in the Bianchi type III universe are constructed on the basis of the quadratic theory of gravity with a scalar field and pure radiation in Shapovalov wave spacetimes of type II (subtype 2).…

广义相对论与量子宇宙学 · 物理学 2023-08-02 Konstantin Osetrin , Ilya Kirnos , Evgeny Osetrin

A proper-time method for constructing models of dynamic gravitational-wave fields is presented. Using the proper-time method, analytical (not numerical) models of secondary gravitational waves are constructed as perturbative solutions of…

广义相对论与量子宇宙学 · 物理学 2026-03-10 Konstantin E. Osetrin

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…

广义相对论与量子宇宙学 · 物理学 2025-09-30 Morteza Mohseni , Saurya Das

The existence of gravitational radiation is a natural prediction of any relativistic description of the gravitational interaction. In this chapter, we focus on gravitational waves, as predicted by Einstein's general theory of relativity.…

广义相对论与量子宇宙学 · 物理学 2017-04-26 Alexandre Le Tiec , Jérôme Novak

We study gravitational waves propagating through an anisotropic Bianchi I dust-filled universe (containing the Einstein-de-Sitter universe as a special case). The waves are modeled as small perturbations of this background cosmological…

广义相对论与量子宇宙学 · 物理学 2009-11-07 P. A. Hogan , E. M. O'Shea

The known exact solutions of Einstein's vacuum field equations modeling the gravitational fields of pure gravitational radiation involve wave fronts which are either planar or roughly spherical. We describe a scheme designed to check…

广义相对论与量子宇宙学 · 物理学 2021-07-02 Peter A. Hogan , Dirk Puetzfeld

For the gravitational wave model based on the type III Shapovalov wave space-time, test particle trajectories and the exact solution of geodesic deviation equations for the Bianchi type VII universe are obtained. Based on the found 4-vector…

广义相对论与量子宇宙学 · 物理学 2022-10-11 Konstantin Osetrin , Evgeny Osetrin , Elena Osetrina

The energy and momentum transported by exact plane gravitational-wave solutions of Einstein equations are computed using the teleparallel equivalent formulation of Einstein's theory. It is shown that these waves transport neither energy nor…

广义相对论与量子宇宙学 · 物理学 2010-04-30 Yuri N. Obukhov , J. G. Pereira , Guillermo F. Rubilar

The construction of exact linearized solutions to the Einstein equations within the Bondi-Sachs formalism is extended to the case of linearization about de Sitter spacetime. The gravitational wave field measured by distant observers is…

广义相对论与量子宇宙学 · 物理学 2016-03-03 Nigel T. Bishop

In this manuscript we review the theoretical foundations of gravitational waves in the framework of Albert Einstein's theory of general relativity. Following Einstein's early efforts we first derive the linearised Einstein field equations…

广义相对论与量子宇宙学 · 物理学 2018-05-22 Alain Dirkes

A numerical-relativity calculation yields in general a solution of the Einstein equations including also a radiative part, which is in practice computed in a region of finite extent. Since gravitational radiation is properly defined only at…

广义相对论与量子宇宙学 · 物理学 2017-02-08 Nigel T. Bishop , Luciano Rezzolla

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…

宇宙学与河外天体物理 · 物理学 2022-02-03 Mairi Sakellariadou

We discuss dynamical aspects of gravitational plane waves in Einstein theory with massless scalar fields. The general analytic solution describes colliding gravitational waves with constant polarization, which interact with scalar waves…

广义相对论与量子宇宙学 · 物理学 2018-10-17 Jorge G. Russo

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,…

天体物理学 · 物理学 2008-02-03 J. W. Moffat

As an example of the unification of gravitation and particle physics, an exact solution of the five-dimensional field equations is studied which describes waves in the classical Einstein vacuum. While the solution is essentially 5D in…

综合物理 · 物理学 2015-06-12 Paul S. Wesson

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…

广义相对论与量子宇宙学 · 物理学 2018-08-28 Rong-Jia Yang

The present work investigates some exact solutions of the gravitational wave equation in some widely used cosmological spacetimes. The examples are taken from spatially flat and closed isotropic models as well as Kasner metric which is…

广义相对论与量子宇宙学 · 物理学 2021-07-06 Sushovan Mondal , Saif Ali , Shanima S , Narayan Banerjee , Golam Mortuza Hossain

Exact solutions of Einstein's vacuum equations are considered which describe gravitational waves with distinct wavefronts. A family of such solutions presented recently in which the wavefronts have various geometries and which propagate…

广义相对论与量子宇宙学 · 物理学 2008-11-26 G A Alekseev , J B Griffiths
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