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We study analytically the relaxation phase of perturbed, rapidly rotating black holes. In particular, we derive a simple formula for the fundamental quasinormal resonances of near-extremal Kerr black holes. The formula is expressed in terms…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Shahar Hod

Microscopic calculations of the Bekenstein-Hawking entropy of supersymmetric black holes in string theory are typically based on the application to a dual 2D CFT of Cardy's formula, S=2\pi \sqrt{c q /6}, where `c' is the central charge and…

High Energy Physics - Theory · Physics 2009-11-11 Roberto Emparan , David Mateos

We consider a Hamiltonian quantum theory of stationary spacetimes containing a Kerr-Newman black hole. The physical phase space of such spacetimes is just six-dimensional, and it is spanned by the mass $M$, the electric charge $Q$ and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Makela , P. Repo , M. Luomajoki , J. Piilonen

The differential equations governing the late-time ring-down of the perturbations of the Kerr metric, the Teukolsky Angular Equation and the Teukolsky Radial Equation, can be solved analytically in terms of confluent Heun functions. In this…

High Energy Astrophysical Phenomena · Physics 2012-12-24 Denitsa Staicova , Plamen Fiziev

In the present paper, we construct spontaneously scalarized rotating black hole solutions in dynamical Chern-Simons (dCS) gravity by following the scalar field evolution in the decoupling limit. For the range of parameters where the Kerr…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Daniela D. Doneva , Stoytcho S. Yazadjiev

In a recent paper we calculated the field equations of spin-3/2 fields in a $D$-dimensional Reissner-Nordstr\"om black hole spacetime whilst maintaining the gauge symmetry of the Rarita-Schwinger equation. We were also able to determine the…

General Relativity and Quantum Cosmology · Physics 2018-06-25 Alan S. Cornell , Gerhard E. Harmsen

We compute the quasi-normal mode (QNM) frequencies of slowly rotating black holes in dynamical Chern-Simons (dCS) gravity, including corrections up to second order in the black hole's dimensionless spin parameter $\chi = J/M^2$ and second…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Tharaka Alapati , S. Shankaranarayanan

In this paper we explore the advantage of using the Kerr-Schild Ansatz in the search of analytic configurations to bigravity. It turns out that it plays a crucial role by providing means to straightforwardly calculate the square root matrix…

High Energy Physics - Theory · Physics 2017-07-18 Eloy Ayón-Beato , Daniel Higuita-Borja , Julio A. Méndez-Zavaleta

We study the asymptotic Virasoro symmetry which acts on the near-horizon region of extremal four-dimensional black hole solutions of gravity theories with higher-derivative corrections, following the recently proposed Kerr/CFT…

High Energy Physics - Theory · Physics 2009-11-19 Tatsuo Azeyanagi , Geoffrey Compère , Noriaki Ogawa , Yuji Tachikawa , Seiji Terashima

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

We propose a new thermodynamic inequality for stationary and asymptotically Anti-de Sitter rotating black holes, $ 4\pi J^2/(3MV)<1 $. This inequality is derived by analyzing the roots of the identity relating the thermodynamic variables,…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Hamid R. Bakhtiarizadeh

Motivated by advanced progress in the holographic theory between rotating black holes and CFT, we explore the conformal invariance on dyonic Kerr-Sen black hole and its gauged family. We consider a neutral massless scalar probe on the black…

High Energy Physics - Theory · Physics 2023-03-29 Muhammad Fitrah Alfian Rangga Sakti

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

We extend to non-static black holes our benchmarking scheme that allows for cross-comparison of the efficiencies of asymptotically AdS black holes used as working substances in heat engines. We use a circular cycle in the p-V plane as the…

High Energy Physics - Theory · Physics 2018-12-07 Avik Chakraborty , Clifford V. Johnson

The energy eigenvalues with any l-states and mass of heavy quark- antiquark system (quarkonium) are obtained by using Asymptotic Iteration Method in the view of non-relativistic quantum chromodynamics, in which the quarks are considered as…

General Physics · Physics 2018-02-22 Hakan Ciftci , Hasan Fatih Kisoglu

A recently proposed holographic duality allows the Bekenstein-Hawking entropy of extremal rotating black holes to be calculated microscopically, by applying the Cardy formula to the two-dimensional chiral CFTs associated with certain…

High Energy Physics - Theory · Physics 2009-03-19 H. Lu , Jianwei Mei , C. N. Pope , J. Vazquez-Poritz

In this paper we study the eigenvalues of the angular spheroidal wave equation and its generalization, the Coulomb spheroidal wave equation. An associated differential system and a formula for the connection coefficients between the various…

Mathematical Physics · Physics 2022-11-30 Harald Schmid

We present the metric for a rotating black hole with a cosmological constant and with arbitrary angular momenta in all higher dimensions. The metric is given in both Kerr-Schild and Boyer-Lindquist form. In the Euclidean-signature case, we…

High Energy Physics - Theory · Physics 2010-04-06 G. W. Gibbons , H. Lu , D. N. Page , C. N. Pope

We propose a novel quantum algorithm for solving nuclear resonances, which is based on the iterative Harrow-Hassidim-Lloyd algorithm and eigenvector continuation with complex scaling. To validate this approach, we compute the resonant…

Quantum Physics · Physics 2025-06-27 Hantao Zhang , Dong Bai , Zhongzhou Ren

The present work addresses an axisymmetrically accreting black hole system from three perspectives: the astrophysical, the dynamical systems, and the emergent gravity standpoint. Steady-state equations governing low angular momentum axially…

High Energy Astrophysical Phenomena · Physics 2026-05-07 Kalyanbrata Pal , Souvik Ghose , Ripon Sk , Arpan Krishna Mitra , Tapas K. Das
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