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We propose a method of computing one-loop determinants in black hole spacetimes (with emphasis on asymptotically anti-de Sitter black holes) that may be used for numerics when completely-analytic results are unattainable. The method…

High Energy Physics - Theory · Physics 2016-08-03 Peter Arnold , Phillip Szepietowski , Diana Vaman

Recent work on the quantum mechanics of near-extremal non-supersymmetric black holes has identified a characteristic $T^{3/2}$ scaling of the low temperature black hole partition function. This result has only been derived using the path…

High Energy Physics - Theory · Physics 2025-09-17 Daniel Kapec , Y. T. Albert Law , Chiara Toldo

We compute new exact analytic expressions for one-loop scalar effective actions in Kerr (A)dS black hole (BH) backgrounds in four and five dimensions. These are computed by the connection coefficients of the Heun equation via a…

High Energy Physics - Theory · Physics 2025-01-14 Paolo Arnaudo , Giulio Bonelli , Alessandro Tanzini

In this note, we calculate the one-loop determinant for a massive scalar (with conformal dimension $\Delta$) in even-dimensional AdS$_{d+1}$ space, using the quasinormal mode method developed in arXiv:0908.2657 by Denef, Hartnoll, and…

High Energy Physics - Theory · Physics 2021-09-27 Cynthia Keeler , Gim Seng Ng

We extend a formula for 1-loop black hole determinants by Denef, Hartnoll, and Sachdev (DHS) to spinning fields on any $(d+1)$-dimensional static spherically symmetric black hole. By carefully analyzing the regularity condition imposed on…

High Energy Physics - Theory · Physics 2023-06-08 Manvir Grewal , Y. T. Albert Law , Klaas Parmentier

We compute the one-loop contribution to the semiclassical partition function of near-extremal, asymptotically AdS black holes in five-dimensional Einstein-Gauss-Bonnet gravity. In the absence of an exact analytic rotating solution at finite…

High Energy Physics - Theory · Physics 2026-03-27 Alejandro Alvarado , Andres Anabalon , Mariano Chernicoff , Julio Oliva , Marcelo Oyarzo , Gabriel Ortega , Jorge Urbina

We compute one-loop corrections to the euclidean gravitational path integral of near-extremal (anti-)de Sitter-Kerr black hole in terms of the connection coefficients of the Heun equation describing the black hole linear perturbations in…

High Energy Physics - Theory · Physics 2025-06-11 Paolo Arnaudo , Giulio Bonelli , Alessandro Tanzini

The quasinormal spectrum of a charged scalar field around a non-extremal Reissner-Nordstr\"om black hole, specially in the limit of large electromagnetic interaction, has been comprehensively studied only very recently. In this work, we…

General Relativity and Quantum Cosmology · Physics 2014-12-04 Maurício Richartz , Davi Giugno

We study the geometry of $T\bar{T}$-deformed BTZ black hole and find it can be regarded as a quotient of hyperbolic space. We then consider the massive scalar field propagating in the $T\bar{T}$-deformed BTZ black hole background. The…

High Energy Physics - Theory · Physics 2024-05-13 Miao He

We consider the quasinormal spectrum of scalar and axial perturbations of the Reissner-Nordstr\"om-AdS black hole as the horizon approaches extremality. By considering a foliation of the black hole by spacelike surfaces which intersect the…

General Relativity and Quantum Cosmology · Physics 2024-04-04 Filip Ficek , Claude Warnick

We use the numerical continued fraction method to investigate quasinormal mode spectra of extremal and non-extremal Reissner-Nordstr\"om black holes in the low and intermediate damping regions. In the extremal case, we develop techniques…

General Relativity and Quantum Cosmology · Physics 2024-05-02 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey

An important open question in black hole thermodynamics is about the existence of a "mass gap" between an extremal black hole and the lightest near-extremal state within a sector of fixed charge. In this paper, we reliably compute the…

High Energy Physics - Theory · Physics 2023-12-21 Luca V. Iliesiu , Gustavo J. Turiaci

With the recently discovered formula, which relates the off shell Euclidean one loop determinant to the on shell quantities such as normal and quasinormal modes in real spacetime, we work out the one loop partition function for…

High Energy Physics - Theory · Physics 2013-04-09 Hongbao Zhang , Xiangdong Zhang

We derive an expression for the quasinormal modes of scalar perturbations in near extreme d-dimensional Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter black holes. We show that, in the near extreme limit, the dynamics of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Molina

Aiming to search for a signal of space-time noncommutativity, we study a quasinormal mode spectrum of the Reissner Nordstr\"om black hole in the presence of a deformed space-time structure. In this context we study a noncommutative (NC)…

High Energy Physics - Theory · Physics 2018-10-18 Marija Dimitrijević Ćirić , Nikola Konjik , Andjelo Samsarov

In this letter, we present a novel exact scalar quasibound states solutions in the extremal Reissner-Norstr\"om black hole background. We start with the construction of the governing covariant relativistic scalar field equation, the…

General Relativity and Quantum Cosmology · Physics 2025-01-06 David Senjaya , Supakchai Ponglertsakul

The first quantum corrections to the entropy for an eternal 4-dimensional extremal Reissner-Nordstr\"om black hole is investigated at one-loop level, in the large mass limit of the black hole, making use of the conformal techniques related…

High Energy Physics - Theory · Physics 2009-10-28 G. Cognola , L. Vanzo , S. Zerbini

We extend the results of arXiv:1401.7016, computing one loop partition functions for massive fields with spin half in AdS_2 using the quasinormal mode method proposed by Denef, Hartnoll, and Sachdev in arXiv:0908.2657. We find the finite…

High Energy Physics - Theory · Physics 2016-11-23 Cynthia Keeler , Pedro Lisbao , Gim Seng Ng

The formation of near-extremal Reissner-Nordstrom black holes in the S-wave approximation can be described, near the event horizon, by an effective solvable model. The corresponding one-loop quantum theory remains solvable and allows to…

High Energy Physics - Theory · Physics 2009-10-31 Alessandro Fabbri , Diego J. Navarro , Jose Navarro-Salas

We solve the wave equations of arbitrary integer spin fields in the BTZ black hole background and obtain exact expressions for their quasinormal modes. We show that these quasinormal modes precisely agree with the location of the poles of…

High Energy Physics - Theory · Physics 2015-06-03 Shouvik Datta , Justin R. David
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