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Based on the relationship between proper distance and coordinate distance, the geometrical phenomenon caused by the passing gravitational waves can not be observed locally. The electromagnetic wave equations in the background gravitational…

广义相对论与量子宇宙学 · 物理学 2018-11-13 Wenyu Wang , Yang Xu

The aim of these notes is to give an accessible and self-contained introduction to the theory of gravitational waves as the theory of a relativistic symmetric tensor field in a Minkowski background spacetime. This is the approach of a…

广义相对论与量子宇宙学 · 物理学 2017-05-17 Marco de Cesare , R. Oliveri , J. W. van Holten

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

综合物理 · 物理学 2025-05-02 Victor Atanasov , Avadh Saxena

We derive the exact gravitational wave solutions in a general class of quadratic metric-affine gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion, nonmetricity and the…

广义相对论与量子宇宙学 · 物理学 2021-01-14 Alejandro Jiménez-Cano , Yuri N. Obukhov

General relativity and its cosmological solution predicts the existence of tensor modes of perturbations evolving on top of our Friedman-Lema\^itre-Robertson-Walker expanding Universe. Being gauge invariant and not necessarily coupled to…

广义相对论与量子宇宙学 · 物理学 2023-01-20 Amaury Micheli , Patrick Peter

In this paper, we systematically study gravitational waves (GWs) produced by remote compact astrophysical sources. To describe such GWs properly, we introduce three scales, $\lambda, \; L_c$ and $L$, denoting, respectively, the typical…

宇宙学与河外天体物理 · 物理学 2021-06-30 Jared Fier , Xiongjun Fang , Bowen Li , Shinji Mukohyama , Anzhong Wang , Tao Zhu

Quasi-periodic oscillations of high density thick accretion disks orbiting a Schwarzschild black hole have been recently addressed as interesting sources of gravitational waves. The aim of this paper is to compare the gravitational…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Alessandro Nagar , Jose A. Font , Olindo Zanotti , Roberto De Pietri

In a theory of quantum gravity, states can be represented as wavefunctionals that assign an amplitude to a given configuration of matter fields and the metric on a spatial slice. These wavefunctionals must obey a set of constraints as a…

高能物理 - 理论 · 物理学 2022-03-23 Chandramouli Chowdhury , Victor Godet , Olga Papadoulaki , Suvrat Raju

Spacetime is considered to be everywhere Minkowski except at the location where a signal wave of energy interacts with the gravitational field. The conformal metric f[k(x-vt)]Nuv is suitably chosen to represent this interaction, where…

综合物理 · 物理学 2010-07-28 Walter J. Christensen

One of the primary aims of upcoming space-borne gravitational wave detectors is to measure radiation in the mHz range from extreme-mass-ratio inspirals. Such a detection would place strong constraints on hypothetical departures from a Kerr…

广义相对论与量子宇宙学 · 物理学 2020-09-17 Kyriakos Destounis , Arthur G. Suvorov , Kostas D. Kokkotas

For vacuum Maxwell theory in four dimensions, a supplementary condition exists (due to Eastwood and Singer) which is invariant under conformal rescalings of the metric, in agreement with the conformal symmetry of the Maxwell equations.…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Giampiero Esposito , Cosimo Stornaiolo

Gravitational perturbations of the de Sitter spacetime are investigated using the Regge--Wheeler formalism. The set of perturbation equations is reduced to a single second order differential equation of the Heun-type for both electric and…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Donato Bini , Giampiero Esposito , Andrea Geralico

We find exact nonlinear solutions of general relativity that represent twisted gravitational waves (TGWs) in the presence of a cosmological constant. A TGW is a nonplanar wave propagating along a fixed spatial direction with a null Killing…

广义相对论与量子宇宙学 · 物理学 2019-10-23 Hassan Firouzjahi , Bahram Mashhoon

As is well known, there exist some Lorentz breaking scenarios which explain the smallness of the cosmological constant in the present era. An important aspect to analyze is the propagation of gravitational waves and the screening or…

广义相对论与量子宇宙学 · 物理学 2017-11-01 O. Santillan , M. Scornavacche

Impulsive gravitational waves are theoretical models of short but violent bursts of gravitational radiation. They are commonly described by two distinct spacetime metrics, one of local Lipschitz regularity, the other one even…

广义相对论与量子宇宙学 · 物理学 2024-04-26 Clemens Sämann , Benedict Schinnerl , Roland Steinbauer , Robert Švarc

Gravitational waves in the presence of a non-minimal curvature-matter coupling are analysed, both in the Newman-Penrose and perturbation theory formalisms. Considering a cosmological constant as a source, the non-minimally coupled…

广义相对论与量子宇宙学 · 物理学 2018-05-03 Orfeu Bertolami , Cláudio Gomes , Francisco S. N. Lobo

The modeling of gravitational wave ringdown has traditionally relied on linear perturbation theory, which mainly describes the late-time behavior of a perturbed black hole after a binary merger. However, the need for more accurate ringdown…

广义相对论与量子宇宙学 · 物理学 2026-04-03 Macarena Lagos

We compute the spectrum of primordial gravitational wave perturbations in open de Sitter spacetime. The background spacetime is taken to be the continuation of an O(5) symmetric instanton saddle point of the Euclidean no boundary path…

高能物理 - 理论 · 物理学 2009-10-31 S. W. Hawking , Thomas Hertog , Neil Turok

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…

广义相对论与量子宇宙学 · 物理学 2021-07-05 Dong-Hoon Kim , Chan Park

The direct detection of gravitational waves opens the possibility to test general relativity and its alternatives in the strong field regime. Here we focus on the test of the existence of extra dimensions. The classification of…

广义相对论与量子宇宙学 · 物理学 2024-02-26 Yu-Qiang Liu , Yu-Qi Dong , Yu-Xiao Liu