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Using a recursive solution of the Einstein equations, we consider the perturbative expansion of the metric corresponding to a Kerr black hole. Because the metric is a function of two parameters, Newton's constant G and the Kerr spin…

High Energy Physics - Theory · Physics 2026-05-20 Poul H. Damgaard , Hojin Lee , Kanghoon Lee , Tabasum Rahnuma

We investigate possible end-points of the superradiant instability for a charged black hole with a reflecting mirror. By considering a fully coupled system of gravity and a charged scalar field, hairy black hole solutions are obtained. The…

General Relativity and Quantum Cosmology · Physics 2016-01-13 Supakchai Ponglertsakul , Sam Dolan , Elizabeth Winstanley

We consider the quasinormal modes, quasibound states and superradiant instability of a rotating hairy black hole, which possesses a Horndeski hair as deviation from Kerr black hole, under the perturbation of massive scalar field. With the…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Yun-He Lei , Zhen-Hao Yang , Xiao-Mei Kuang

In this work we explore the consequences of considering from the very beginning the stationary and axisymmetric properties of the Kerr black hole as one attempts to derive this solution through the Kerr-Schild ansatz. The first consequence…

High Energy Physics - Theory · Physics 2017-07-19 Eloy Ayón-Beato , Mokhtar Hassaïne , Daniel Higuita-Borja

Aretakis has proved the existence of an instability of a massless scalar field at the horizon of an extreme Kerr or Reissner-Nordstrom black hole: for generic initial data, a transverse derivative of the scalar field at the horizon does not…

General Relativity and Quantum Cosmology · Physics 2012-11-16 James Lucietti , Harvey S. Reall

We construct hairy static black holes of higher dimensional general coupling Einstein-Skyrme theories with the scalar potential turned on and the cosmological constant is non-positive in which the scalar multiplets satisfy $O(d+1)$ model…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Bobby Eka Gunara , Emir Syahreza Fadhilla , Ardian Nata Atmaja

Stationary black holes in 5-dimensional Einstein-Maxwell-Chern-Simons theory possess surprising properties. When considering the Chern-Simons coefficient $\lambda$ as a parameter, two critical values of $\lambda$ appear: the supergravity…

High Energy Physics - Theory · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida

We show that both the interior region $r<M-\sqrt{M^2-a^2}$ of a Kerr black hole and the $a^2>M^2$ Kerr naked singularity admit unstable solutions of the Teukolsky equation for any value of the spin weight. For every harmonic number there is…

General Relativity and Quantum Cosmology · Physics 2012-08-10 Gustavo Dotti , Reinaldo J. Gleiser , Ignacio F. Ranea-Sandoval

Kerr black holes with scalar hair are solutions of the Einstein-Klein-Gordon field equations describing regular (on and outside an event horizon), asymptotically flat black holes with scalar hair (arXiv:1403.2757). These black holes…

General Relativity and Quantum Cosmology · Physics 2015-05-05 Carlos Herdeiro , Eugen Radu

We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schr\"odinger style master equations for each type of perturbation up to linear…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Oliver J. Tattersall

In this work, we find a new branch of hairy black hole solutions in the Einstein-Maxwell-Scalar (EMS) theory in four-dimensional asymptotically flat spacetimes. Different from spontaneous scalarization induced by tachyonic instabilities in…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Hong Guo , Wei-Liang Qian , Bean Wang

We present a rotating regular black hole whose inner horizon has zero surface gravity for any value of the spin parameter, and is therefore stable against mass inflation. Our metric is built by combining two successful strategies for…

General Relativity and Quantum Cosmology · Physics 2024-03-08 Edgardo Franzin , Stefano Liberati , Jacopo Mazza , Vania Vellucci

The mode stability of the Kerr black hole in four dimensions was demonstrated by Whiting in 1989, by separating the Teukolsky equation that describes gravitational perturbations and then transforming the radial and angular equations in such…

General Relativity and Quantum Cosmology · Physics 2022-11-23 M. Cvetic , C. N. Pope , B. F. Whiting , Haoyu Zhang

We study the superradiance instability of charged massive scalar field in the background of Kerr-Newman-anti-de Sitter black hole. By employing the asymptotic matching technique to solve Klein-Gordon equation analytically, the complex parts…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Ran Li

We investigate the dynamical behavior of a scalar field non-minimally coupled to Einstein's tensor and Ricci scalar in geometries of asymptotically de Sitter spacetimes. We show that the quasinormal modes remain unaffected if the scalar…

General Relativity and Quantum Cosmology · Physics 2019-04-25 R. D. B. Fontana , Jeferson de Oliveira , A. B. Pavan

Ever since its discovery by Roy Kerr in 1963, the geometry around rotating, electrostatically-neutral black holes, otherwise known as Kerr black holes, has significantly contributed to theoretical developments in the fields of general…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Tongyu Zhang , Moe Vali

The Einstein-conformally coupled scalar field system is studied in the presence of a cosmological constant. We consider a massless or massive scalar field with no additional self-interaction, and spherically symmetric black hole geometries.…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Elizabeth Winstanley

Massive bosonic fields in the background of a Kerr black hole can either trigger superradiant instabilities (black-hole bombs) or form equilibrium configurations corresponding to pure bound states, known as stationary scalar clouds. Here,…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Marzena Ciszak , Francesco Marino

We perform the stability analysis of the Schwarzschild black hole in $f(R)$ gravity with the parity-violating Chern-Simons (CS) term coupled to a dynamical scalar field $\theta$. For this purpose, we transform the $f(R)$ gravity into the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Taeyoon Moon , Yun Soo Myung

We study the polar quasinormal modes of spontaneously scalarized black holes in Einstein-Gauss-Bonnet theory. In previous works we showed that a set of nodeless solutions of the fundamental branch of the model studied in [1] are stable…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Sarah Kahlen , Jutta Kunz , Petya Nedkova , Stoytcho S. Yazadjiev
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