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The vacuum polarization of the quantized scalar field with non-conformal coupling $\xi$ on the long throat of a wormhole background is calculated. It is shown that the stress-energy tensor of vacuum fluctuations in considered spacetime is…

High Energy Physics - Theory · Physics 2018-09-18 A. Popov

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

The ground state energy of the massive scalar field with non-conformal coupling $\xi$ on the short-throat flat-space wormhole background is calculated by using zeta renormalization approach. We discuss the renormalization and relevant heat…

High Energy Physics - Theory · Physics 2009-11-07 Nail R. Khusnutdinov , Sergey V. Sushkov

We consider the self-energy and the self-force for scalar massive and massless particles at rest in the wormhole space-time. We develop a general approach to obtain the self-force and apply it to the two specific profiles of the wormhole…

General Relativity and Quantum Cosmology · Physics 2009-03-24 V. B. Bezerra , Nail R. Khusnutdinov

An analytical approximation of $<T_{\mu\nu}>$ for a quantized scalar field in a static spherically symmetric spacetime with a topology $S^2 \times R^2$ is obtained. The gravitational background is assumed slowly varying. The scalar field is…

High Energy Physics - Theory · Physics 2009-11-07 Arkadii A. Popov

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

In this paper we consider a massive vector field in the background of a space-time obtained by certain Z2 quotient of the BTZ black hole. We analyse the back reaction of the matter field on the space-time geometry up to first order in…

High Energy Physics - Theory · Physics 2021-01-04 Ankit Anand , Prasanta K. Tripathy

This paper investigates the massive gauge field within spacetime context from a $\mathbb{Z}_2$ quotient of the constant curvature black hole. We investigate how the matter field's back reaction affects the spacetime geometry, considering…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Ankit Anand , Ruben Campos Delgado , Daris Samart

Vacuum polarization of scalar fields in the background of a long throat is investigated. The field is assumed to be both massive or massless, with arbitrary coupling to the scalar curvature, and in a thermal state at an arbitrary…

High Energy Physics - Theory · Physics 2018-09-18 A. Popov

Static traversable wormhole solutions of the Einstein equations require ``exotic'' matter which violates the weak energy condition. The vacuum stress-energy of quantized fields has been proposed as the source for this matter. Using the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Brett E. Taylor , William A. Hiscock , Paul R. Anderson

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

In order to be traversable, the static Lorentzian wormhole must be made out of some exotic matter that violates the weak energy condition. The quantized fields are the natural candidates as their stress-energy tensor, in many cases,…

General Relativity and Quantum Cosmology · Physics 2017-11-30 Ewa Kocuper , Jerzy Matyjasek , Kasia Zwierzchowska

The self-energy and self-force for particles with electric and scalar charges at rest in the space-time of massless and massive wormholes are considered. The particle with electric charge is always attracted to wormhole throat for arbitrary…

General Relativity and Quantum Cosmology · Physics 2014-02-12 Nail Khusnutdinov

To create a static traversable wormhole, exotic matter that meets the Morris-Thorne conditions is required. It is well known that the expectation value of the vacuum stress-energy tensor can violate the null energy condition, and thus has…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Shun Jiang , Jie Jiang

We consider the Casimir effect for quantized massive scalar field with non-conformal coupling $\xi$ in a spacetime of wormhole whose throat is rounded by a spherical shell. In the framework of zeta-regularization approach we calculate a…

High Energy Physics - Theory · Physics 2007-05-23 Artem R. Khabibullin , Nail R. Khusnutdinov , Sergey V. Sushkov

We investigate a static traversable wormhole sustained by a combination of a minimally coupled scalar field and an electric field, with exotic matter sourced by Casimir energy. Considering two scenarios, where the Casimir plate separation…

General Relativity and Quantum Cosmology · Physics 2025-07-28 Remo Garattini , Athanasios G. Tzikas

In this paper, we study quantum relativistic features of a scalar field around the Rindler-Schwarzschild wormhole. First, we introduce this new class of spacetime, investigating some energy conditions and verifying their violation in a…

General Relativity and Quantum Cosmology · Physics 2022-11-29 C. R. Muniz , H. R. Christiansen , M. S. Cunha , J. Furtado , V. B. Bezerra

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

We calculate the Casimir energy-momentum tensor induced in a scalar field by a macroscopic ultrastatic spherically-symmetric long-throated traversable wormhole, and examine whether this exotic matter is sufficient to stabilise the wormhole…

General Relativity and Quantum Cosmology · Physics 2014-07-09 Luke M. Butcher

We calculate renormalised vacuum expectation values of electromagnetic stress-energy tensor in the static spherically-symmetrical wormhole topology. We find that for metric tensor sufficiently slow varied with distance violation of the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 V. Khatsymovsky
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