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We analyze the largely accepted formulas for the asymptotic quasi-normal frequencies of the non-extremal Reissner-Nordstr\"om black hole, (for the electromagnetic-gravitational/scalar perturbations). We focus on the question of whether the…

General Relativity and Quantum Cosmology · Physics 2012-02-01 Jozef Skakala

Conditions for thermodynamic stability of asymptotically anti-de Sitter rotating black holes in D-dimensions are determined. Local thermodynamic stability requires not only positivity conditions on the specific heat and the moment of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Brian P. Dolan

A consistent theory describing the dynamics of quantum systems interacting on a classical space-time was recently put forward by Oppenheim et al..[1, 2]. Quantum states may retain their coherence, at the cost of some amount of stochasticity…

We study neutral massless scalar field perturbations around an extreme dilaton black hole in 2 +1 dimensions: the wave equations of the massless scalar field is shown to be exactly solvable in terms of Whittaker functions. Thus, the…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Sharmanthie Fernando , P. A. González , Yerko Vásquez

We consider quasinormal modes of the massive Dirac field in the background of a Schwarzschild- Tangherlini black hole. Different dimensions of the spacetime are considered, from d = 4 to d = 9. The quasinormal modes are calculated using two…

General Relativity and Quantum Cosmology · Physics 2018-02-19 Jose Luis Blázquez-Salcedo , Christian Knoll

We consider weakly non-linear gravitational perturbations of a near-extremal Kerr black hole governed by the second order vacuum Einstein equation. Using the GHZ formalism [Green et al., Class. Quant. Grav. 7(7):075001, 2020], these are…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Claudio Iuliano , Stefan Hollands , Stephen R. Green , Peter Zimmerman

In this work, we present a numerical scheme to study the quasinormal modes of the time-dependent Vaidya black hole metric in asymptotically anti-de Sitter spacetime. The proposed algorithm is primarily based on a generalized matrix method…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Kai Lin , Yunqi Liu , Wei-Liang Qian , Bin Wang , Elcio Abdalla

The exact computation of asymptotic quasinormal frequencies is a technical problem which involves the analytic continuation of a Schrodinger-like equation to the complex plane and then performing a method of monodromy matching at the…

High Energy Physics - Theory · Physics 2015-06-26 Vitor Cardoso , Jose Natario , Ricardo Schiappa

Understanding the physical significance and spectral stability of black hole quasinormal modes is fundamental to high-precision spectroscopy with future gravitational wave detectors. Inspired by Mashhoon's idea of relating quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Sebastian H. Völkel

A black hole immersed in a rotating Universe, described by the Gimon-Hashimoto solution, is tested on stability against scalar field perturbations. Unlike the previous studies on perturbations of this solution, which dealt only with the…

General Relativity and Quantum Cosmology · Physics 2011-09-22 R. A. Konoplya , A. Zhidenko

We investigate the physical properties of the de Sitter spacetime and new type-de Sitter black holes in new massive gravity, a higher derivative gravity theory in three dimensions. We calculate thermodynamic quantities and check that the…

High Energy Physics - Theory · Physics 2015-06-17 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park

We compute the mass and the temperature of third order Lovelock black holes with negative Gauss-Bonnet coefficient $\alpha_2<0$ in anti-de Sitter space and perform the stability analysis of topological black holes. When $k=-1$, the third…

General Relativity and Quantum Cosmology · Physics 2011-05-18 Decheng Zou , Ruihong Yue , Zhanying Yang

Quasinormal modes for bosonic (scalar, electromagnetic, and axial gravitational) and fermionic field perturbations, radiated from black holes that carry quantum gravitational corrections at third order in the curvature to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-01-09 R. Casadio , C. Noberto Souza , R. da Rocha

We derive an expression for functional determinants in thermal spacetimes as a product over the corresponding quasinormal modes. As simple applications we give efficient computations of scalar determinants in thermal AdS, BTZ black hole and…

High Energy Physics - Theory · Physics 2010-05-21 Frederik Denef , Sean A. Hartnoll , Subir Sachdev

Spatially varying near-horizon fluctuations of temperature of a Schwarzschild Black Hole is considered within the Euclidean Gravity approach. We present evidence that suggests that such fluctuations in temperature are closely related with…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Anamika Avinash Pathak , Swastik Bhattacharya

We adopt Leaver's method to determine quasi normal frequencies of the Schwarzschild black hole in higher (D >= 10) dimensions. In D-dimensional Schwarzschild metric, when D increases, more and more singularities, spaced uniformly on the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andrzej Rostworowski

In this manuscript, we investigate the influence of the extended uncertainty principle (EUP) on the thermodynamics of a charged rotating Ba\~{n}ados, Teitelboim and Zanelli (BTZ) black hole in (2+1)-dimensional anti-de Sitter (AdS) and de…

General Relativity and Quantum Cosmology · Physics 2023-01-02 B. Hamil , B. C. Lütfüoğlu , L. Dahbi

We show that in the limit where the number of spacetime dimensions D grows to infinity a very large class of black holes (including non-extremal, static, asymptotically flat ones, with any number of gauge-field charges, possibly coupled to…

High Energy Physics - Theory · Physics 2014-03-19 Roberto Emparan , Kentaro Tanabe

Quantitative versions of mode stability type statements for the wave equation on Kerr-Newman black holes are proven for the full sub-extremal range. The mode stability result on the real axis is then applied to prove integrated local energy…

General Relativity and Quantum Cosmology · Physics 2014-05-15 Damon Civin

We show that the quasi-Euclidean sections of various rotating black holes in different dimensions possess at least one non-conformal negative mode when thermodynamic instabilities are expected. The boundary conditions of fixed induced…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Ricardo Monteiro , Malcolm J. Perry , Jorge E. Santos