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We give an analytical formula for the vacuum polarization of a massless minimally coupled scalar field at the horizon of a rotating black hole with subtracted geometry. This is the first example of an exact, analytical result for a…

High Energy Physics - Theory · Physics 2015-09-30 Mirjam Cvetic , Zain H. Saleem , Alejandro Satz

We study the vacuum polarization of a massless minimally coupled scalar field at the horizon of four-charge STU black holes. We compare the results for the standard asymptotically flat black holes and for the black holes obtained in the…

High Energy Physics - Theory · Physics 2015-06-23 Mirjam Cvetic , Gary W. Gibbons , Zain H. Saleem , Alejandro Satz

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 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

We compute the renormalized vacuum polarization for a massless, conformally coupled scalar field on asymptotically anti-de Sitter black hole backgrounds. Mixed (Robin) boundary conditions are applied on the spacetime boundary. We consider…

High Energy Physics - Theory · Physics 2021-03-02 Thomas Morley , Peter Taylor , Elizabeth Winstanley

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 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

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

A massless scalar field minimally coupled to gravity and propagating in the Schwarzschild spacetime is considered. After dimensional reduction under spherical symmetry the resulting 2D field theory is canonically quantized and the…

High Energy Physics - Theory · Physics 2008-11-26 R. Balbinot , A. Fabbri , V. Frolov , P. Nicolini , P. Sutton , A. Zelnikov

Quantum field theory on rotating black hole spacetimes is plagued with technical difficulties. Here, we describe a general method to renormalize and compute the vacuum polarization of a quantum field in the Hartle-Hawking state on rotating…

General Relativity and Quantum Cosmology · Physics 2015-05-06 Hugo R. C. Ferreira

We modify and generalize the known solution for the electromagnetic field when a vacuum, stationary, axisymmetric black hole is immersed in a uniform magnetic field to the case of nonvacuum black holes (of modified gravity) and determine…

General Relativity and Quantum Cosmology · Physics 2016-07-26 Mustapha Azreg-Aïnou

We compute the quantum vacuum polarization for a pure neutral scalar field theory within the context of single-particle quantum mechanics. The loop diagram is computed without ever encountering loop-momentum integrals. Our approach is based…

High Energy Physics - Theory · Physics 2007-05-23 Walter Dittrich

We investigate the influence of vacuum polarization of quantum massive fields on the scalar sector of quasinormal modes in spherically symmetric black holes. We consider the evolution of a massless scalar field on the spacetime…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Owen Pavel Fernandez Piedra , Jeferson de Oliveira

An analitical approximation of $<\phi^2>$ for a scalar field in a static spherically symmetric wormhole spacetime is obtained. The scalar field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Arkadii A. Popov , Sergey V. Sushkov

We analyze the "vacuum" polarization induced by a quantum charged scalar field near the inner horizon of a charged (Reissner-Nordstr\"om-de Sitter) black hole in quantum states that start out as regular states near an initial Cauchy…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Christiane Klein , Jochen Zahn , Stefan Hollands

In order to investigate the effects of vacuum polarisation on mass inflation singularities, we study a simple toy model of a charged black hole with cross flowing radial null dust which is homogeneous in the black hole interior. In the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 W. G. Anderson , P. R. Brady , R. Camporesi

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 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

We considered a vacuum polarization inside a galaxy in the eikonal approximation and found that two possible types of polarization exist. The first type is described by the equation of state $p=\rho/3$, similar to radiation. Using the…

General Relativity and Quantum Cosmology · Physics 2022-09-05 Sergey L. Cherkas , Vladimir L. Kalashnikov

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
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