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This is the third in a series of papers which considers first-order gauge-invariant and covariant gravitational perturbations to locally rotationally symmetric (LRS) class II space-times. In this paper we complete our analysis of the…

General Relativity and Quantum Cosmology · Physics 2007-08-21 R. B. Burston

In this work we consider perturbations of homogeneous and hypersurface orthogonal cosmological backgrounds with local rotational symmetry (LRS), using a method based on the 1 + 1 + 2 covariant split of spacetime. The backgrounds, of LRS…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Michael Bradley , Mats Forsberg , Zoltán Keresztes

We study scalar field and electromagnetic perturbations on Locally Rotationally Symmetric (LRS) class II spacetimes, exploiting a recently developed covariant and gauge-invariant perturbation formalism. From the Klein-Gordon equation and…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Gerold Betschart , Chris A. Clarkson

We present a method that yields three decoupled covariant equations for three complex scalars, which completely govern electromagnetic perturbations of non-vacuum, locally rotationally symmetric class II spacetimes. One of these equations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Raymond Burston , Anthony Lun

This paper explores the hybridization of linear metric perturbations with linear electromagnetic (EM) perturbations in non-magnetized plasma for a general background metric. The local wave properties are derived from first principles for…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Deepen Garg , I. Y. Dodin

Plane electromagnetic and gravitational waves interact with particles in such a way as to cause them to oscillate not only in the transverse direction but also along the direction of propagation. The electromagnetic case is usually shown by…

General Physics · Physics 2015-05-27 Gerald E. Marsh

In magnetized plasmas gravitational and electromagnetic waves may interact coherently and exchange energy between themselves and with plasma flows. We derive the wave interaction equations for these processes in the case of waves…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Martin Servin , Gert Brodin

First order perturbations of homogeneous and hypersurface orthogonal LRS (Locally Rotationally Symmetric) class II cosmologies with a cosmological constant are considered in the framework of the 1+1+2 covariant decomposition of spacetime.…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Robin Törnkvist , Michael Bradley

First order perturbations of homogeneous and hypersurface orthogonal LRS (Locally Rotationally Symmetric) class II cosmologies with a cosmological constant are considered in the framework of the 1+1+2 covariant decomposition of spacetime.…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Philip Semrén , Michael Bradley

We study second-order electromagnetic perturbations in the Schwarzschild background and derive the effective source terms for Regge-Wheeler equation which are quadratic in first-order gravitational and electromagnetic perturbations. In…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Fawzi Aly , Mahmoud A. Mansour , Dejan Stojkovic

This is the second in a series of papers which considers first-order gauge-invariant and covariant gravitational perturbations to locally rotationally symmetric (LRS) class II space-times. This paper shows how to decouple a complex…

General Relativity and Quantum Cosmology · Physics 2007-08-21 R. B. Burston

We use the covariant and gauge-invariant 1+1+2 formalism of Clarkson and Barrett \cite{Clarkson2003} to analyze electromagnetic (EM) perturbations on non-vacuum {\it locally rotationally symmetric} (LRS) class II space-times. Ultimately, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R B Burston

This thesis investigates in the time domain a particular class of second order perturbations of a perfect fluid non-rotating compact star: those arising from the coupling between first order radial and non-radial perturbations. This problem…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Andrea Passamonti

Background fields of electromagnetic and gravitational type emerge in the low kinetic energy limit of any regular Lagrangian system and, in particular, in the corresponding limit of any spacetime theory in which the free motion of test…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Paolo Maraner

We present a framework to describe completely general first-order perturbations of static, spatially compact, and locally rotationally symmetric class II spacetimes within the theory of general relativity. The perturbation variables are by…

General Relativity and Quantum Cosmology · Physics 2024-05-10 Paulo Luz , Sante Carloni

We consider cosmological applications of a new self-consistent system of equations, accounting for a nonminimal coupling of the gravitational, electromagnetic and pseudoscalar (axion) fields in a relativistic plasma. We focus on dispersion…

General Relativity and Quantum Cosmology · Physics 2013-12-17 Alexander B. Balakin , Ruslan K. Muharlyamov , Alexei E. Zayats

We consider the interaction of a weak gravitational wave with electromagnetic fields in a thin plasma on a Minkowski background spacetime using the 1+3 orthonormal frame formalism. Because gravitational and electromagnetic waves satisfy the…

Astrophysics · Physics 2009-10-31 Mattias Marklund , Gert Brodin , Peter Dunsby

We present a fully second-quantized calculation showing the emergence of spontaneous coherent configurations of the electromagnetic field in interaction with charged bosons in a regular lattice. The bosons tend to oscillate at their plasma…

General Physics · Physics 2023-02-14 L. Gamberale , G. Modanese

We present general relativistic correction terms appearing in Newton's gravity to the second-order perturbations of cosmological fluids. In our previous work we have shown that to the second-order perturbations, the density and velocity…

Astrophysics · Physics 2008-12-18 J. Hwang , H. Noh

In order to derive the precise gravitational waveforms for extreme mass ratio inspirals (EMRI), we develop a formulation for the second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The…

General Relativity and Quantum Cosmology · Physics 2008-12-25 Carlos O. Lousto , Hiroyuki Nakano
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