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In this paper, we investigate the near-extremal thermodynamics of the Reissner-Nordstrom (RN) black hole. Our methodology is based on a duality that exists between the near-horizon geometry of the near-extremal RN sector and…

High Energy Physics - Theory · Physics 2007-05-23 A. J. M. Medved

We analyse the dynamics of near-extremal Reissner-Nordstr\"om black holes in asymptotically four-dimensional Anti-de Sitter space (AdS$_4$). We work in the spherically symmetric approximation and study the thermodynamics and the response to…

High Energy Physics - Theory · Physics 2018-09-14 Pranjal Nayak , Ashish Shukla , Ronak M Soni , Sandip P. Trivedi , V. Vishal

Black holes display universal behavior near extremality. One such feature is the late-time blowup of derivatives of linearized perturbations across the horizon. For generic initial data, this instability is regulated by backreaction, and…

High Energy Physics - Theory · Physics 2019-02-20 Shahar Hadar

We analyze the thermodynamic response near extremality of charged black holes in four-dimensional Einstein-Maxwell theory with a positive cosmological constant. The latter exhibit three different extremal limits, dubbed cold, Nariai and…

High Energy Physics - Theory · Physics 2023-08-02 Alejandra Castro , Francesca Mariani , Chiara Toldo

Some recent studies have implied that quantum fluctuations will prevent a near-extremal black hole from ever attaining a state of precise extremality. In this paper, we consider the analogous situation for the scenario of a nearly…

High Energy Physics - Theory · Physics 2007-05-23 A. J. M. Medved

Two derivative Jackiw Teitelboim gravity theory captures the near horizon dynamics of higher dimensional near extremal black holes, which is governed by a Schwarzian action at the boundary in the near horizon region. The partition function…

High Energy Physics - Theory · Physics 2022-02-09 Nabamita Banerjee , Taniya Mandal , Arnab Rudra , Muktajyoti Saha

The near extremal Reissner-Nordstrom black holes in arbitrary dimensions ca be modeled by the Jackiw-Teitelboim (JT) theory. The asymptotic Virasoro symmetry of the corresponding JT model exactly reproduces, via Cardy's formula, the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Cruz , A. Fabbri , D. J. Navarro , J. Navarro-Salas , P. Navarro

In this paper, we give a complete description of the black hole threshold, locally near the Reissner-Nordstr\"om family, in the infinite-dimensional moduli space $\mathfrak M$ of dynamical spherically symmetric solutions to the…

General Relativity and Quantum Cosmology · Physics 2026-03-12 Yannis Angelopoulos , Christoph Kehle , Ryan Unger

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

We show that the free energy at low temperatures for near-extremal black holes is correctly obtained from the Jackiw-Teitelboim (JT) model of gravity. Our arguments apply to all black holes, including rotating ones, whose metric has a…

High Energy Physics - Theory · Physics 2019-11-15 Upamanyu Moitra , Sunil Kumar Sake , Sandip P. Trivedi , V. Vishal

We study the near horizon 2d gravity theory which captures the near extremal thermodynamics of Kerr black holes where a linear combination of excess angular momentum $\delta J $ and excess mass $\delta M$ is held fixed. These correspond to…

High Energy Physics - Theory · Physics 2023-02-20 Rohan R. Poojary

Near the horizon of extremal charged black holes, an accidental symmetry is known to act on zero-temperature perturbations, transforming them into finite-temperature ones. In this paper, we uncover the corresponding accidental symmetry of…

High Energy Physics - Theory · Physics 2025-04-30 Avik Banerjee , Achilleas P. Porfyriadis , Grant N. Remmen

We propose a thermal interpretation of the Schwinger effect for charged scalars and spinors in an extremal and near-extremal Reissner-Nordstr\"{o}m (RN) black hole. The emission of charges has the distribution with an effective temperature…

High Energy Physics - Theory · Physics 2015-03-03 Sang Pyo Kim , Hyun Kyu Lee , Yongsung Yoon

We study a two-dimensional theory of gravity coupled to matter that is relevant to describe holographic properties of black holes with a single rotational parameter in five dimensions (with or without cosmological constant). We focus on the…

High Energy Physics - Theory · Physics 2021-12-08 Alejandra Castro , Juan F. Pedraza , Chiara Toldo , Evita Verheijden

We give an explicit closed form description of the late-time near-horizon approach to dynamical extreme Reissner-Nordstrom (DERN) black holes. These are spherically symmetric dynamical solutions of Einstein-Maxwell theory coupled to a…

High Energy Physics - Theory · Physics 2026-01-26 Achilleas P. Porfyriadis , Christopher Rosen , Georgios Tsaraktsidis

We analyze the thermodynamic response near extremality of black holes with angular momentum in (3+1)-dimensional de Sitter and Anti-de Sitter spacetimes. While Kerr-AdS$_4$ is characterized by a single extremal limit, for Kerr-dS$_4$ there…

High Energy Physics - Theory · Physics 2025-05-06 Francesca Mariani , Chiara Toldo

I present exact results matching Kerr-Newman Black Hole thermodynamics in the extremal limit to the two-dimensional Fermi Gas. Two dimensions are consistent with the membrane paradigm of black holes. Key in the analysis is the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2007-11-28 George Ruppeiner

We present a new formulation of deriving Hawking temperature for near-extremal black holes using distributions. In this paper the near-extremal Reissner-Nordstrom and Kerr black holes are discussed. It is shown that the extremal solution as…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Bhramar Chatterjee , Amit Ghosh

We consider Reissner-Nordstrom solutions in quasi-topological gravity, obtaining exact solutions to the field equations yielding charged quasi-topological black holes. We study their thermodynamic behaviour over a range of parameters that…

High Energy Physics - Theory · Physics 2012-10-15 W. G. Brenna , R. B. Mann

The s-wave approximation to the black hole dynamics has attracted considerable attention recently. However, the near-AdS2 geometry of the near-horizon region and decoupling of the non-s-wave modes usually requires a small-temperature limit.…

High Energy Physics - Theory · Physics 2025-12-24 Oleg O. Novikov , Andrey A. Shavrin
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