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It is well known that there are black hole and the cosmological horizons for the Reissner-Nordstr\"{o}m-de Sitter spacetime. Although the thermodynamic quantities on the horizons are not irrelevant, they satisfy the laws of black hole…

General Relativity and Quantum Cosmology · Physics 2014-10-14 Li-Chun Zhang , Meng-Sen Ma , Hui-Hua Zhao , Ren Zhao

We consider a massless quantum scalar field on a two-dimensional space-time describing a thin shell of matter collapsing to form a Schwarzschild-anti-de Sitter black hole. At early times, before the shell starts to collapse, the quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Paul G. Abel , Elizabeth Winstanley

Ultraviolet regime in quantum theory with horizons, contrary to ordinary theory, depends on the temperature of the system due to additional surface divergences in the effective action. We evaluate their general one-loop structure paying…

High Energy Physics - Theory · Physics 2009-10-28 Dmitri Fursaev

Black holes arising in the context of scalar-tensor gravity theories, where the scalar field is non-minimally coupled to the curvature term, have zero surface gravity. Hence, it is generally stated that their Hawking temperature is zero,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. G. Alvarenga , A. B. Batista , J. C. Fabris , G. T. Marques

In flat space, the extreme Reissner-Nordstr\o m (RN) black hole is distinguished by its coldness (vanishing Hawking temperature) and its supersymmetry. We examine RN solutions to Einstein-Maxwell theory with a cosmological constant…

High Energy Physics - Theory · Physics 2009-10-22 L. J. Romans

We compute the renormalized charge current for a massless, minimally coupled, charged quantum scalar field on a charged Reissner-Nordstrom black hole space-time, using the method of pragmatic mode-sum renormalization. Since the field…

High Energy Physics - Theory · Physics 2025-05-13 George Montagnon , Elizabeth Winstanley

We investigate vacuum polarization on the event horizon of a Schwarzschild black hole carrying a global monopole. For a massless scalar field $\Psi$ in the Hartle-Hawking state and with arbitrary curvature coupling, we compute the…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Leonardo G. Barbosa , Victor H. M. Ramos , João Paulo M. Pitelli

Robinson-Wilczek's recent work shows that, the energy momentum tensor flux required to cancel gravitational anomaly at the event horizon of a Schwarzschild-type black hole has an equivalent form to that of a (1+1)-dimensional blackbody…

High Energy Physics - Theory · Physics 2008-11-26 Qing-Quan Jiang , Shuang-Qing Wu , Xu Cai

We present a mode-sum regularization prescription for computing the vacuum polarization of a scalar field in static spherically-symmetric black hole spacetimes in even dimensions. This is the first general and systematic approach to…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Peter Taylor , Cormac Breen

The $d$-dimensional scalar field action may be reduced, in the background geometry of a black hole, to a 2-dimensional effective action. In the near horizon region, it appears a gravitational anomaly: the energy-momentum tensor of the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 J. C. Fabris , G. T. Marques

We study quantum fields on spacetimes having a bifurcate Killing horizon by allowing the possibility that left- and right- (in-going and out-going) modes have different temperatures. We consider in particular the Rindler for both massless…

High Energy Physics - Theory · Physics 2021-02-03 E. T. Akhmedov , P. A. Anempodistov , K. V. Bazarov , D. V. Diakonov , U. Moschella

Among the different methods to derive particle creation, finding the quantum stress tensor expectation value gives a covariant quantity which can be used for examining the back-reaction issue. However this tensor also includes vacuum…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Javad T. Firouzjaee , George F. R. Ellis

We present a new mode-sum regularization prescription for computing the vacuum polarization of a scalar field in static spherically-symmetric black hole spacetimes in odd dimensions. This is the first general and systematic approach to…

General Relativity and Quantum Cosmology · Physics 2017-01-04 Peter Taylor , Cormac Breen

Contrary to previous claims, it is shown that the expectation values of the quantum stress tensor for a massless scalar field propagating on a two-dimensional extreme Reissner-Nordstrom black hole are indeed regular on the horizon.

High Energy Physics - Theory · Physics 2009-11-10 Roberto Balbinot , Serena Fagnocchi , Alessandro Fabbri , Sara Farese , Jose Navarro-Salas

The validity of our already proposed conjecture -- {\it horizon creates a local instability which acts as the source of the quantum temperature of black hole} -- is being tested here for Kerr black hole. Earlier this has been explicitly…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Surojit Dalui , Bibhas Ranjan Majhi

Analytic approximations for the stress-energy of quantized fields in the Hartle-Hawking state in static black hole spacetimes predict divergences on the event horizon of the black hole for a number of important cases. Such divergences, if…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Paul R. Anderson , Mathew Binkley , Hector Calderon , William A. Hiscock , Emil Mottola , Ruslan Vaulin

We find an exact black hole solution with a minimally coupled scalar field. The corresponding spacetime has two horizons and one of the them is the black hole event horizon and the other is the cosmic horizon. In this sense, the solution is…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Shuang Yu , Changjun Gao

We review the quantization of scalar and gauge fields using Rindler coordinates with an emphasis on the physics of the Rindler horizon. In the thermal state at the Unruh temperature, correlators match their Minkowski vacuum values and the…

High Energy Physics - Theory · Physics 2016-12-12 Ben Michel

We study black hole radiation of a Reissner-Nordstrom black hole with an electric charge in the framework of quantum gravity. Based on a canonical quantization for a spherically symmetric geometry, under physically plausible assumptions, we…

High Energy Physics - Theory · Physics 2015-03-19 Ichiro Oda

In this letter, we develop a unified semiclassical framework for the thermodynamics and quantization of the Reissner--Nordstr\"om (RN) black hole (BH) based on the Misner--Sharp--Hernandez (MSH) mass. Treating the quasi-local horizon…

General Relativity and Quantum Cosmology · Physics 2026-02-27 S. Jalalzadeh , H. Moradpour