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The propagation of (massless) scalar, electromagnetic and gravitational waves on fixed Schwarzschild background spacetime is described by the general time-dependent Regge-Wheeler equation. We transform this wave equation to usual…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Dennis Philipp , Volker Perlick

It was believed that when gravitational, electromagnetic and scalar waves interact, a spacelike curvature singularity or Cauchy horizon develops because of mutual focusing. We show with an exact solution that the collision of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ozay Gurtug , Mustafa Halilsoy

Electro-vacuum black holes are scale-invariant; their energy-momentum tensor is traceless. Quantum corrections of various sorts, however, can often produce a trace anomaly and a breakdown of scale-invariance. The (quantum-corrected) black…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Carlos A. R. Herdeiro , Eugen Radu

We show non-linear stability and instability results in spherical symmetry for the interior of a charged black hole -approaching a sub-extremal Reissner-Nordstr\"om background fast enough at infinity- in presence of a massive and charged…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Maxime Van de Moortel

As one of the fitting methods, the polynomial approximation is effective to process sophisticated problem. In this paper, we employ this approach to handle the scattering of scalar field around the Schwarzschild-de Sitter black-hole. The…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Molin Liu , Hongya Liu , Jingfei Zhang , Fei Yu

We study the imaging of a hairy black hole (HBH) in the Einstein-Klein-Gordon theory, where Einstein gravity is minimally coupled to a scalar potential $V(\phi)=-\Lambda \phi^4 + \mu \phi^2$ with $\Lambda$ and $\mu$ are constants. As a…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Kok-Geng Lim , Xiao Yan Chew

We study the spectrum of the bound state perturbations in the interior of the Schwarzschild black hole for the scalar, electromagnetic and gravitational perturbations. Demanding that the perturbations to be regular at the center of the…

General Relativity and Quantum Cosmology · Physics 2018-05-31 Hassan Firouzjahi

We investigate the influence of Born-Infeld (BI) nonlinear electrodynamics on magnetic field configurations, photon orbits, and black hole shadows for Schwarzschild black holes immersed in magnetic fields. Assuming that the BI magnetic…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Yiqian Chen , Guangzhou Guo , Benrong Mu , Peng Wang

Localization phenomena in light scattering from random fluctuations of matter fields and spacetime metric near a black hole horizon were predicted to produce a pronounced peak in the angular distribution of second harmonic light in the…

General Physics · Physics 2022-06-09 Igor I. Smolyaninov

We have investigated quantum entropy of a static black hole arising from the massless scalar field with Lorentz violation induced by the coupling to Einstein tensor. Our results show that the coupled massless scalar field contributes to the…

General Relativity and Quantum Cosmology · Physics 2015-11-16 Songbai Chen , Jiliang Jing , Hao Liao

The first-order semiclassical Einstein field equations are solved in the interior of the Schwarzschild-Tangherlini black holes. The source term is taken to be the stress-energy tensor of the quantized massive scalar field with arbitrary…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Jerzy Matyjasek , Pawel Sadurski

Partial differential equations exhibiting an anisotropic scaling between space and time -- such as those of Horava-Lifshitz gravity -- have a dispersive nature. They contain higher-order spatial derivatives, but remain second order in time.…

General Relativity and Quantum Cosmology · Physics 2023-11-23 Marcelo E. Rubio , Áron D. Kovács , M. Herrero-Valea , Miguel Bezares , Enrico Barausse

The existence of a regular non-trivial scalar field in the background of an asymptotically flat static reflecting star is discussed. The scalar field is assumed to be conformally coupled to the outside matter. The induced scalar charge is…

General Relativity and Quantum Cosmology · Physics 2020-10-02 H. Mohseni Sadjadi , M. Khodaei

The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the response of a Schwarzschild black hole to an incoming…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Jörg Frauendiener , Chris Stevens

It has recently been found that quasinormal modes of asymptotically anti-de Sitter (AdS) black holes in theories with higher curvature corrections may help to describe the regime of intermediate 't Hooft coupling in the dual field theory.…

General Relativity and Quantum Cosmology · Physics 2017-06-14 P. A. González , R. A. Konoplya , Yerko Vásquez

Tensor and scalar unparticle couplings to matter have been shown to enhance gravitational interactions and provide corrections to the Schwarzschild metric and associated black hole structure. We derive an exact solution to the Einstein…

High Energy Physics - Phenomenology · Physics 2014-11-21 J. R. Mureika , Euro Spallucci

Gravitational wave `echoes' during black-hole merging events have been advocated as possible signals of modifications to gravity in the strong-field (but semiclassical) regime. In these proposals the observable effect comes entirely from…

General Relativity and Quantum Cosmology · Physics 2020-06-02 C. P. Burgess , Ryan Plestid , Markus Rummel

The leading order correction to the metric of a Schwarzschild black hole, due to the backreaction of infalling fermionic matter fields, is shown to produce a shift of the event horizon such that particles that would constitute Hawking…

High Energy Physics - Theory · Physics 2009-10-30 Arundhati Dasgupta , Parthasarathi Majumdar

In Einstein-aether theory, violating Lorentz invariance permits some super-luminal communications, and the universal horizon can trap excitations traveling at arbitrarily high velocities. To better understand the nature of these universal…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Chikun Ding , Changqing Liu

The quasinormal modes of black holes (BHs) in the large-angular-momentum limit can be computed within the eikonal approximation. This approximation is often extrapolated to low angular momentum to obtain a rough estimate of the dominant…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Paolo Pani , Andrea P. Sanna