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In this second paper, we develop an analytical theory of quasi-equatorial lensing by Kerr black holes. In this setting we solve perturbatively our general lens equation with displacement given in Paper I, going beyond weak-deflection Kerr…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Amir B. Aazami , Charles R. Keeton , A. O. Petters

Recent studies have shown that rotating black holes can undergo spontaneous scalarization, leading to deviations from general relativity in the strong-field regime. We present the first nonperturbative calculation of the quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Wei Xiong , Peng-Cheng Li

In this study, we examine the impacts of black hole spin, Lorentz-violating parameter, and the scalar field's mass on quasinormal modes (QNMs) of rotating Einstein-Bumblebee black holes, including computations up to the second-order…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Weike Deng , Wentao Liu , Fen Long , Kui Xiao , Jiliang Jing

In this paper we consider the massive scalar perturbation on the top of a small spinning-like black hole in context of Einstein-bumblebee modified gravity in order to probe the role of spontaneous Lorentz symmetry breaking on the…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Mohsen Khodadi

Rotating black hole solutions in theories of modified gravity are important as they offer an arena to test these theories through astrophysical observation. The non-rotating black hole can be hardly tested since the black hole spin is very…

General Relativity and Quantum Cosmology · Physics 2018-09-28 Rahul Kumar , Sushant G. Ghosh

In electrovacuum stationary, asymptotically flat black holes in scalar-tensor theories of gravity are described by the Kerr-Newman family of solutions, just as in general relativity. We show that there exist two mechanisms which can render…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Vitor Cardoso , Isabella P. Carucci , Paolo Pani , Thomas P. Sotiriou

We consider the evolution of relativistic perturbations in the Einstein-de Sitter cosmological model, including second-order effects. The perturbations are considered in two different settings: the widely used synchronous gauge and the…

Astrophysics · Physics 2009-10-30 S. Matarrese , S. Mollerach , M. Bruni

We investigate the weak cosmic censorship conjecture in Kerr-(anti-)de Sitter black holes under the scattering of a scalar field. We test the conjecture in terms of whether the black hole can exceed the extremal condition with respect to…

General Relativity and Quantum Cosmology · Physics 2018-09-18 Bogeun Gwak

Based on the gauge invariant variables proposed in our previous paper [K. Nakamura, Prog. Theor. Phys. vol.110 (2003), 723.], some formulae of the perturbative curvatures of each order are derived. We follow the general framework of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kouji Nakamura

The superhorizon (iso)curvature perturbations are conserved if the following conditions are satisfied: (i) (each) non adiabatic pressure perturbation is zero, (ii) the gradient terms are ignored, that is, at the leading order of the…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-27 Atsuhisa Ota , Masahide Yamaguchi

We study scalar test-field perturbations on top of a Kerr--black-bounce background, i.e. a family of rotating regular black holes and/or rotating traversable wormholes that can mimic Kerr black holes. We compute the quasi-normal modes for a…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Edgardo Franzin , Stefano Liberati , Jacopo Mazza , Ramit Dey , Sumanta Chakraborty

Magnetic fields surrounding spinning black holes can confine radiation and trigger superradiant instabilities. To investigate this effect, we perform the first fully-consistent linear analysis of the Ernst spacetime, an exact solution of…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Richard Brito , Vitor Cardoso , Paolo Pani

In Einstein-Maxwell theory, according to classic uniqueness theorems, the most general stationary black-hole solution is the axisymmetric Kerr-Newman metric, which is defined by three parameters: mass, spin and electric charge. The radial…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Paolo Pani , Emanuele Berti , Leonardo Gualtieri

The quantum tunneling radiation of scalar particles near the event horizon of Kerr-de Sitter black hole is investigated in three systems of coordinates namely naive coordinate system, Painleve coordinate system and Eddington coordinate…

General Relativity and Quantum Cosmology · Physics 2022-05-10 Y. Onika Laxmi , T. Ibungochouba Singh , I. Ablu MEitei

Two-dimensional quantum fields in electric and gravitational backgrounds can be described by conformal field theories, and hence all the physical (covariant) quantities can be written in terms of the corresponding holomorphic quantities. In…

High Energy Physics - Theory · Physics 2008-11-26 Satoshi Iso , Takeshi Morita , Hiroshi Umetsu

Although the entropy of black holes in any diffeomorphism invariant theory of gravity can be expressed as the Wald entropy, the issue of whether the entropy always obeys the second law of black hole thermodynamics remains open. Since the…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Xin-Yang Wang , Jie Jiang

We conduct a novel study to obtain the initial spin of the primordial black holes created during a first-order phase transition due to delayed false vacuum decay. Remaining within the parameter space consistent with observational bounds, we…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Indra Kumar Banerjee , Ujjal Kumar Dey

Within linearized perturbation theory, black holes decay to their final stationary state through the well-known spectrum of quasinormal modes. Here we numerically study whether nonlinearities change this picture. For that purpose we study…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Enrique Pazos , David Brizuela , Jose M. Martin-Garcia , Manuel Tiglio

We study the linear perturbations about nonrotating black holes in the context of degenerate higher-order scalar-tensor (DHOST) theories, using a systematic approach that extracts the asymptotic behaviour of perturbations (at spatial…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

Scalar, vector and tensor perturbations on the Kerr spacetime are governed by equations that can be solved by separation of variables, but the same is not true in generic stationary and axisymmetric geometries. This complicates the…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Rajes Ghosh , Nicola Franchini , Sebastian H. Völkel , Enrico Barausse