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The renormalized expectation value of the stress-energy tensor of the conformally invariant massless field in the Israel-Hartle-Hawking state in the Schwarzschild spacetime is constructed. It is achieved through solving the conservation…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Jerzy Matyjasek

We examine quantum properties of topological black holes which are asymptotically anti--de Sitter. First, massless scalar fields and Weyl spinors which propagate in the background of an anti--de Sitter black hole are considered in an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dietmar Klemm , Luciano Vanzo

We calculate the quantum correlator in Schwarzschild black hole space-time. We perform the calculation for a scalar field in three different quantum states: Boulware, Unruh and Hartle-Hawking, and for points along a timelike circular…

High Energy Physics - Theory · Physics 2017-12-05 Claudia Buss , Marc Casals

We study the quantum dynamics of a probe scalar field in the background of a black hole in AAdS spacetime in the Hamiltonian formulation of general relativity in the maximal slicing gauge. The black hole solution in this gauge is expressed…

High Energy Physics - Theory · Physics 2025-10-28 Anurag Kaushal , Naveen S. Prabhakar , Spenta R. Wadia

We discuss the exact electrically charged BTZ black hole solutions to the Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions assuming a (anti-)self dual condition between the electromagnetic fields.…

High Energy Physics - Theory · Physics 2009-10-30 Masaru Kamata , Takao Koikawa

We obtain an analytic approximation for the effective action of a quantum scalar field in a general static two-dimensional spacetime. We apply this to the dilaton gravity model resulting from the spherical reduction of a massive,…

High Energy Physics - Theory · Physics 2011-02-22 Roberto Balbinot , Alessandro Fabbri , Piero Nicolini , Patrick J. Sutton

We study the canonical quantization of a massive scalar field on a five dimensional, rotating black hole space-time. We focus on the case where the space-time is asymptotically anti-de Sitter and the black hole's two angular momentum…

High Energy Physics - Theory · Physics 2025-11-27 Alessandro Monteverdi , Elizabeth Winstanley

In the lack of a full-fledged theory of quantum gravity, I consider free, scalar, quantum fields on curved spacetimes to gain insight into the interaction between quantum and gravitational phenomena. I employ the Unruh-DeWitt detector…

General Relativity and Quantum Cosmology · Physics 2022-03-21 Lissa de Souza Campos

Quantum field effects on a classical background spacetime may be obtained from the semiclassical equations of General Relativity with the expectation value of the stress-energy tensor of the quantum field as a source. This expectation value…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Noa Zilberman , Marc Casals , Amos Ori , Adrian C. Ottewill

On an $n$-dimensional, massless, topological black hole with hyperbolic sections, we construct the two-point function both of a ground state and of a thermal state for a real, massive, free scalar field arbitrarily coupled to scalar…

High Energy Physics - Theory · Physics 2021-03-30 Lissa de Souza Campos , Claudio Dappiaggi

We analyse a quantum observer who falls geodesically towards the Cauchy horizon of a $(1+1)$-dimensional eternal black hole spacetime with the global structure of the non-extremal Reissner-Nordstr\"om solution. The observer interacts with a…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Benito A. Juárez-Aubry , Jorma Louko

We investigate the generalized second law for two-dimensional black holes in equilibrium (Hartle-Hawking) and nonequilibrium (Unruh) with the heat bath surrounding the black holes. We obtain a simple expression for the change of total…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jeongwon Ho

In the framework of quantum field theory in curved space-time, we study the quantization of a massless fermion field on a non-extremal Kerr black hole. The key theme in this note is the fundamental difference between scalar and fermion…

General Relativity and Quantum Cosmology · Physics 2013-10-31 Elizabeth Winstanley

We study a quantum fermion field on a background non-extremal Kerr black hole. We discuss the definition of the standard black hole quantum states (Boulware, Unruh and Hartle-Hawking), focussing particularly on the differences between…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Marc Casals , Sam R. Dolan , Brien C. Nolan , Adrian C. Ottewill , Elizabeth Winstanley

We compare the canonical quantization and the effective action method to derive expectation values of the stress energy tensor for scalar fields conformally coupled to a 2D Schwarzschild black hole spacetime. Particular attention is devoted…

High Energy Physics - Theory · Physics 2007-05-23 R. Balbinot , A. Fabbri

The quantum mechanics of $N$ slowly-moving BPS black holes in five dimensions is considered. A divergent continuum of states describing arbitrarily closely bound black holes with arbitrarily small excitation energies is found. A…

High Energy Physics - Theory · Physics 2009-10-31 Ruth Britto-Pacumio , Andrew Strominger , Anastasia Volovich

A method is presented which allows for the numerical computation of the stress-energy tensor for a quantized massless minimally coupled scalar field in the region outside the event horizon of a 4D Schwarzschild black hole that forms from…

General Relativity and Quantum Cosmology · Physics 2021-11-30 Shohreh Gholizadeh Siahmazgi , Paul R. Anderson , Raymond D. Clark , Alessandro Fabbri

We consider a quantum field which is in a Hartle-Hawking state propagating in a general spherically symmetric black hole space-time. We make use of uniform approximations to the radial equation to calculate the components of the stress…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Cormac Breen , Adrian C. Ottewill

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 consider a real, massive scalar field in BTZ spacetime, a 2+1-dimensional black hole solution of the Einstein's field equations with a negative cosmological constant. First, we analyze the space of classical solutions in a mode…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Francesco Bussola , Claudio Dappiaggi , Hugo R. C. Ferreira , Igor Khavkine