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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

Quantum effects are studied in both Schwarzschild spacetime and a spacetime in which a null shell collapses to form a black hole via the vacuum polarization $\langle \phi^2 \rangle$ and stress-energy tensor $\langle T_{ab} \rangle$ for a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Paul R. Anderson , Amanda Peake , Shohreh Gholizadeh Siahmazgi

Equipped with new powerful and efficient methods for computing quantum expectation values in static-spherically symmetric spacetimes in arbitrary dimensions, we perform an in-depth investigation of how the quantum vacuum polarization varies…

General Relativity and Quantum Cosmology · Physics 2018-11-21 Cormac Breen , Peter Taylor

We calculate the Euclidean propagator for a conformally coupled massless scalar field in the background of the three-dimensional black hole. The expectation value $\langle\varphi^2\rangle$ in the Hartle-Hawking state is obtained in the…

General Relativity and Quantum Cosmology · Physics 2020-05-11 Kiyoshi Shiraishi , Takuya Maki

WKB approximation methods are applied to the case of a massive scalar field around a 5-dimensional Reissner-Nordstr\"om black hole. The divergences are explicitly isolated and the cancellation against the Schwinger-De Witt counter-terms…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Gonçalo M. Quinta , Antonino Flachi , José P. S. Lemos

We investigate quantum effects on topological black hole space-times within the framework of quantum field theory on curved space-times. Considering a quantum scalar field, we extend a recent mode-sum regularization prescription for the…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Thomas Morley , Peter Taylor , Elizabeth Winstanley

We calculate the thermal renormalized energy-momentum tensor components of a massless scalar field, leading to trace anomaly, on a $(1+1)$ dimensional static black hole spacetime. Using these, the energy density and flux, seen by both…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Saurav Samanta , Bibhas Ranjan Majhi

The characteristic features of $<T_{\mu\nu}>$ in the Boulware, Unruh and Hartle-Hawking states for a conformal massless scalar field propagating in the Schwarzschild space-time are obtained by means of effective actions deduced by the trace…

High Energy Physics - Theory · Physics 2009-10-31 R. Balbinot , A. Fabbri , I. Shapiro

Minimally coupled 4D scalar fields in Schwarzschild space-time are considered. Dimensional reduction to 2D leads to a well known anomaly induced effective action, which we consider here in a local form with the introduction of auxiliary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Balbinot , A. Fabbri

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

We construct and study the vacuum polarization, $\langle \phi^{2}\rangle_{D},$ of the quantized massive scalar field with a general curvature coupling parameter in higher-dimensional static and spherically-symmetric black hole spacetimes,…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Jerzy Matyjasek , Dariusz Tryniecki

We compute the vacuum polarization of a massless minimally co pled scalar field in a background given by a black hole with subtracted geometry. Extending previous results for the horizon of rotating black holes with no charge, we obtain an…

General Relativity and Quantum Cosmology · Physics 2017-05-10 Alejandro Satz , Mirjam Cvetic

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 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

We present the vacuum polarisation of a massless, conformally coupled scalar field on the brane for a Schwarzschild-Tangherlini black hole in a bulk of zero to seven additional dimensions.

General Relativity and Quantum Cosmology · Physics 2013-03-14 Matthew Hewitt , Elizabeth Winstanley

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 study the canonical quantization of a massless charged scalar field on a Reissner-Nordstrom black hole background. Our aim is to construct analogues of the standard Boulware, Unruh and Hartle-Hawking quantum states which can be defined…

High Energy Physics - Theory · Physics 2023-01-24 Visakan Balakumar , Rafael P. Bernar , Elizabeth Winstanley

Vacuum polarization of massive scalar fields in a thermal state at arbitrary temperature is studied near the horizon of a Reissner-Nordstr\"{o}m black hole. We derived an analytic form of $<\phi^2>$ approximately in the large mass limit…

General Relativity and Quantum Cosmology · Physics 2007-10-02 Hiroko Koyama , Yasusada Nambu , Akira Tomimatsu

We present an exhaustive analysis of scalar, electromagnetic and gravitational perturbations in the background of a Schwarzchild-de Sitter spacetime. The field propagation is considered by means of a semi-analytical (WKB) approach and two…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Molina , E. Abdalla , A. Saa

Building on general formulas obtained from the approximate renormalized effective action, the approximate stress-energy tensor of the quantized massive scalar field with arbitrary curvature coupling in the spacetime of charged black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Waldemar Berej , Jerzy Matyjasek
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