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The dynamics of metric perturbations is explored in the gravity theory with anomaly-induced quantum corrections. Our first purpose is to derive the equation for gravitational waves in this theory on the general homogeneous and isotropic…

广义相对论与量子宇宙学 · 物理学 2012-02-21 Julio C. Fabris , Ana M. Pelinson , Filipe de O. Salles , Ilya L. Shapiro

The Linet-Tian metrics are solutions of the Einstein equations with a cosmological constant, $\Lambda$, that can be positive or negative. The linear instability of these metrics in the case $\Lambda <0$, has already been established. In the…

广义相对论与量子宇宙学 · 物理学 2021-10-27 Reinaldo J. Gleiser

The purpose of this paper is to extend the analysis of gravitational instability of the Linet - Tian solution to the case $\Lambda > 0$. A fundamental difference brought about by $\Lambda >0$, as compared to $\Lambda<0$ is in the structure…

广义相对论与量子宇宙学 · 物理学 2018-11-07 Reinaldo J. Gleiser

Non stationary cylindrically symmetric exact solutions of the Einstein-Maxwell equations are derived as single soliton perturbations of a Levi-Civita metric, by an application of Alekseev inverse scattering method. We show that the metric…

广义相对论与量子宇宙学 · 物理学 2016-08-25 Reinaldo J. Gleiser , Manuel H. Tiglio

We present a new covariant, gauge-invariant formalism describing linear metric perturbation fields on any spherically symmetric background in general relativity. The advantage of this formalism relies in the fact that it does not require a…

广义相对论与量子宇宙学 · 物理学 2013-04-15 Eliana Chaverra , Néstor Ortiz , Olivier Sarbach

The axial gauge is applied to the analysis of Euclidean quantum gravity on manifolds with boundary. A set of boundary conditions which are completely invariant under infinitesimal diffeomorphisms require that spatial components of metric…

高能物理 - 理论 · 物理学 2009-10-30 Ivan G. Avramidi , Giampiero Esposito , Alexander Yu. Kamenshchik

This paper studies the role of the axial gauge in the semiclassical analysis of simple supergravity about the Euclidean four-ball, when non-local boundary conditions of the spectral type are imposed on gravitino perturbations at the…

高能物理 - 理论 · 物理学 2008-02-03 Giampiero Esposito , Alexander Yu. Kamenshchik

In a previous work the authors have solved the Einstein equations of General Relativity for a class of metrics with constant spatial curvature, where it was found a non vanishing Weyl tensor in the presence of a primordial magnetic field…

广义相对论与量子宇宙学 · 物理学 2015-06-10 Grasiele B. Santos , Eduardo Bittencourt , José M. Salim

In linearized gravity with distributed matter, the background metric has no generic symmetries, and decomposition of the metric perturbation into global normal modes is generally impractical. This complicates the identification of the…

广义相对论与量子宇宙学 · 物理学 2022-11-17 Deepen Garg , I. Y. Dodin

Radial steady-state accretion of polytropic matter is investigated under cylindrical symmetry in the Levi-Civita background metric. The model can be considered as a cylindrical analog of Bondi accretion in strong gravitational field. As a…

广义相对论与量子宇宙学 · 物理学 2022-08-22 Łukasz Bratek , Joanna Jałocha , Marek Kutschera

We study the evolution equations for gravitational waves, which are derived using the full metric to raise and lower indices. This method ensures full consistency between the Ricci tensor and all gauge restrictions and requirements, and…

广义相对论与量子宇宙学 · 物理学 2021-11-09 Rosie Hayward , Fabio Biancalana

An outline of a proof of the local decomposition of linear metric perturbations into gauge-invariant and gauge-variant parts on an arbitrary background spacetime is briefly explained. We explicitly construct the gauge-invariant and…

广义相对论与量子宇宙学 · 物理学 2012-10-16 Kouji Nakamura

Gravitational waves are considered as metric perturbations about a curved background metric, rather than the flat Minkowski metric since several situations of physical interest can be discussed by this generalization. In this case, when the…

广义相对论与量子宇宙学 · 物理学 2008-12-21 Donato Bini , Salvatore Capozziello , Giampiero Esposito

We study linear cosmological perturbations in the most general teleparallel gravity setting, where gravity is mediated by the torsion and nonmetricity of a flat connection alongside the metric. For a general linear perturbation of this…

广义相对论与量子宇宙学 · 物理学 2023-12-22 Lavinia Heisenberg , Manuel Hohmann

We show how the widely used concept of spontaneous symmetry breaking can be explained in causal perturbation theory by introducing a perturbative version of quantum gauge invariance. Perturbative gauge invariance, formulated exclusively by…

高能物理 - 理论 · 物理学 2008-11-26 Andreas Aste , Michael D"utsch , G"unter Scharf

One of the longstanding problems of modern gravitational physics is the detection of gravitational waves, for which the standard theoretical analysis relies upon the split of the space-time metric into a background metric plus perturbation.…

广义相对论与量子宇宙学 · 物理学 2010-04-19 Roberto Valentino Montaquila

A general procedure to find static and axially symmetric, interior solutions to the Einstein equations is presented. All the so obtained solutions, verify the energy conditions for a wide range of values of the parameters, and match…

广义相对论与量子宇宙学 · 物理学 2016-11-07 J. L. Hernandez-Pastora , L. Herrera , J. Martin

Gravitational self-force theory is the primary way of modelling extreme-mass-ratio inspirals (EMRIs). One difficulty that appears in second-order self-force calculations is the strong divergence at the worldline of the small object, which…

广义相对论与量子宇宙学 · 物理学 2024-02-15 Samuel D. Upton

We study the axial gravitational perturbations of slowly-rotating compact objects which are assumed to be supported by anisotropic fluids. We find that the gravitational perturbations decouple from the matter perturbations for axial…

广义相对论与量子宇宙学 · 物理学 2024-12-06 Xing-Hui Feng , Jun Peng

We study the perturbative dynamics of an infinite gravitating Nambu-Goto string within the general-relativistic perturbation framework. We develop the gauge invariant metric perturbation on a spacetime containing a self-gravitating straight…

广义相对论与量子宇宙学 · 物理学 2009-12-30 Kouji Nakamura , Akihiro Ishibashi , Hideki Ishihara
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