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In Einstein-Aether theories with a timelike unit vector field, we study the linear stability of static and spherically symmetric black holes against both even- and odd-parity perturbations. For this purpose, we formulate a gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Antonio De Felice , Shinji Mukohyama , Shinji Tsujikawa , Anzhong Wang , Chao Zhang

A pair of wave equations for the electromagnetic and gravitational perturbations of the charged Kerr black hole are derived. The perturbed Einstein-Maxwell equations in a new gauge are employed in the derivation. The wave equations refer to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Zoltán Perjés , Mátyás Vasúth

We calculate the harmonic-gauge even l=1 mode of the linear metric perturbation (MP) produced by a particle in a weak-field circular orbit around a Schwarzschild black hole (BH). We focus on the Newtonian limit, i.e. the limit in which the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Amos Ori

We study the dynamical evolution of a scalar field coupling to Einstein's tensor in the background of Reissner-Nordstr\"{o}m black hole. Our results show that the the coupling constant $\eta$ imprints in the wave dynamics of a scalar…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Songbai Chen , Jiliang Jing

With the advent of gravitational wave astronomy and first pictures of the "shadow" of the central black hole of our milky way, theoretical analyses of black holes (and compact objects mimicking them sufficiently closely) have become more…

General Relativity and Quantum Cosmology · Physics 2021-05-21 Christian Pfeifer , Sebastian Schuster

The Wald vector potential is an exact solution of the source-less Maxwell equations regarding an electromagnetic field of a vacuum uncharged black hole like the Kerr background black hole in an asymptotically uniform magnetic field.…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Wenfu Cao , Xin Wu , Jun Lyu

In bimetric gravity, nonbidiagonal solutions describing a static, spherically symmetric, and asymptotically flat black hole are given by a pair of Schwarzschild geometries, one in each metric sector. The two geometries are linked by a…

General Relativity and Quantum Cosmology · Physics 2025-05-12 David Brizuela , Marco de Cesare , Araceli Soler Oficial

We discuss linearized gravitational perturbations of higher dimensional spacetimes. For algebraically special spacetimes (e.g. Myers-Perry black holes), we show that there exist local gauge invariant quantities linear in the metric…

General Relativity and Quantum Cosmology · Physics 2011-02-01 Mark Durkee , Harvey S. Reall

In this paper, we first investigate the thermal stability of black holes in conformal Weyl gravity with a comparison with the Schwarzschild black holes. Then, we consider a minimally coupled massive scalar perturbation and calculate the…

High Energy Physics - Theory · Physics 2022-08-09 Mehrab Momennia , Seyed Hossein Hendi , Fatemeh Soltani Bidgoli

We study linear perturbations around the static and spherically symmetric spacetime for the gravitational theories whose Lagrangian depends on Ricci scalar and the parity violating Chern-Simons term. By an explicit construction, we show…

General Relativity and Quantum Cosmology · Physics 2011-12-15 Hayato Motohashi , Teruaki Suyama

In this paper, we explore the photon region and the shadow of the rotating counterpart of a static charged Weyl black hole, which has been previously discussed according to null and time-like geodesics. The rotating black hole shows strong…

General Relativity and Quantum Cosmology · Physics 2021-06-21 Mohsen Fathi , Marco Olivares , J. R. Villanueva

Quantum gravitational corrections to the entropy of the Schwarzschild black hole, derived using the Wald entropy formula within an effective field theory framework, were presented in [X. Calmet, F. Kuipers Phys.Rev.D 104 (2021) 6, 066012].…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Alexey Dubinsky

The motion of a charged particle is influenced by the self-force arising from the particle's interaction with its own field. In a curved spacetime, this self-force depends on the entire past history of the particle and is difficult to…

General Relativity and Quantum Cosmology · Physics 2012-09-28 Peter Diener , Ian Vega , Barry Wardell , Steven Detweiler

We investigate the particle motion around a Schwarzschild black hole immersed in a swirling Bertotti-Robinson-Bonnor-Melvin background. This spacetime provides a physically well-motivated framework for studying how the two different…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Wenbin Li , Yu-Qi Lei , Xian-Hui Ge

We have investigated the strong gravitational lensing for the photons coupled to Weyl tensor in a Schwarzschild black hole spacetime. We find that in the four-dimensional black hole spacetime the equation of motion of the photons depends…

General Relativity and Quantum Cosmology · Physics 2015-10-05 Songbai Chen , Jiliang Jing

We study nonminimal extensions of Einstein-Maxwell theory with exact electromagnetic duality invariance. Any such theory involves an infinite tower of higher-derivative terms whose computation and summation usually represents a challenging…

High Energy Physics - Theory · Physics 2021-11-17 Pablo A. Cano , Ángel Murcia

We investigate the cosmological evolution for the physical parameters in Weyl integrable gravity in a Friedmann--Lema\^{\i}tre--Robertson--Walker universe with zero spatially curvature. For the matter component, we assume that it is an…

General Relativity and Quantum Cosmology · Physics 2021-12-02 Andronikos Paliathanasis

We compare the fully nonlinear and perturbative evolution of nonrotating black holes with odd-parity distortions utilizing the perturbative results to interpret the nonlinear results. This introduction of the second polarization…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J Baker , S Brandt , M Campanelli , C O Lousto , E Seidel , R Takahashi

We report on a numerical investigation of black hole evolution in an Einstein dilaton Gauss-Bonnet (EdGB) gravity theory where the Gauss-Bonnet coupling and scalar (dilaton) field potential are symmetric under a global change in sign of the…

General Relativity and Quantum Cosmology · Physics 2020-07-13 Justin L. Ripley , Frans Pretorius

We show that Weyl-invariant dilaton gravity provides a description of black holes without classical spacetime singularities. Singularities appear due to ill-behaviour of gauge fixing conditions, one example being the gauge in which theory…

High Energy Physics - Theory · Physics 2016-11-15 Predrag Dominis Prester