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We analyze the renormalized stress-energy tensor (RSET) of a massless quantum scalar field in time-dependent gravitational backgrounds. Starting from its formal expression obtained within the covariant perturbative expansion to lowest order…

General Relativity and Quantum Cosmology · Physics 2026-01-21 A. Boasso , F. D. Mazzitelli

We provide a mode-sum prescription to directly compute the renormalized stress-energy tensor (RSET) for scalar fields in the Boulware vacuum. The method generalizes the recently developed extended coordinate method which was previously only…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Julio Arrechea , Cormac Breen , Adrian Ottewill , Lorenzo Pisani , Peter Taylor

We compute the renormalized expectation value of the stress-energy tensor operator for a quantum scalar field propagating on three-dimensional global anti-de Sitter space-time. The scalar field has general mass and nonminimal coupling to…

High Energy Physics - Theory · Physics 2025-06-23 Sivakumar Namasivayam , Elizabeth Winstanley

We report here on a new method for calculating the renormalized stress-energy tensor (RSET) in black-hole (BH) spacetimes, which should also be applicable to dynamical BHs and to spinning BHs. This new method only requires the spacetime to…

General Relativity and Quantum Cosmology · Physics 2016-12-02 Adam Levi , Amos Ori

Quantum field theory on anti-de Sitter spacetime requires the introduction of boundary conditions at its conformal boundary, due essentially to the absence of global hyperbolicity. Here we calculate the renormalized stress-energy tensor…

General Relativity and Quantum Cosmology · Physics 2019-07-25 João Paulo M. Pitelli , Vitor S. Barroso , Ricardo A. Mosna

We study a quantum scalar field, with general mass and coupling to the scalar curvature, propagating on three-dimensional global anti-de Sitter space-time. We determine the vacuum and thermal expectation values of the square of the field,…

High Energy Physics - Theory · Physics 2023-08-21 Sivakumar Namasivayam , Elizabeth Winstanley

In this paper, we calculate the stress-energy tensor for a quantized massless conformally coupled scalar field in the background of a conformally flat brane-world geometries, where the scalar field satisfying Robin boundary conditions on…

High Energy Physics - Theory · Physics 2009-11-10 M. R. Setare

We study the stress-energy tensor of a massless, conformally coupled, quantum scalar field in a rigidly-rotating thermal state on three- and four-dimensional anti-de Sitter space-time. We first find the stress-energy tensor using…

High Energy Physics - Theory · Physics 2025-08-08 Jacob C. Thompson , Elizabeth Winstanley

This article solves the initial boundary value problem for the vacuum Einstein equations with a negative cosmological constant in dimension 4, giving rise to asymptotically Anti-de Sitter spaces. We introduce a new family of geometric…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Ludovic Souêtre

Two-point functions, mean-squared fluctuations, and the vacuum expectation value of the energy-momentum tensor operator are investigated for a massive scalar field with an arbitrary curvature coupling parameter, subject to a spherical…

High Energy Physics - Theory · Physics 2012-03-06 K. Milton , A. A. Saharian

Motivated by a desire to understand quantum fluctuation energy densities and stress within a spatially varying dielectric medium, we examine the vacuum expectation value for the stress tensor of a scalar field with arbitrary conformal…

High Energy Physics - Theory · Physics 2016-05-17 Kimball A. Milton , Stephen A. Fulling , Prachi Parashar , Pushpa Kalauni , Taylor Murphy

We explicitly compare the structure of the renormalized stress-energy tensor (RSET) of a massless scalar field in a (1+1) curved spacetime as obtained by two different strategies: normal-mode construction of the field operator and one-loop…

General Relativity and Quantum Cosmology · Physics 2012-04-10 Carlos Barceló , Raúl Carballo , Luis J. Garay

We examine the vacuum state and its corresponding renormalized stress-energy tensor (RSET) in static horizonless regular spacetime in both two and four dimensions. Using the local field formulation of the anomaly-induced effective action,…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Kota Numajiri , Kazumasa Okabayashi , Shinji Mukohyama

We analyze the vacuum fluctuations and the stress-energy tensor of a scalar field of mass $M$ in a conical spacetime, where the topological singularity at the apex requires boundary conditions for the field equation. The necessity of…

High Energy Physics - Theory · Physics 2025-12-05 João Paulo M. Pitelli , Ricardo A. Mosna , Victor Hugo M. Ramos , João C. A. Barata

We continue the presentation of the pragmatic mode-sum regularization (PMR) method for computing the renormalized stress-energy tensor (RSET). We show in detail how to employ the $t$-splitting variant of the method, which was first…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Adam Levi

The treatment of a quantized field in a curved spacetime requires the study of backreaction of the field on the spacetime via the semiclassical Einstein equation. We consider a free scalar field in spatially flat Robertson-Walker space…

Mathematical Physics · Physics 2011-07-14 Benjamin Eltzner , Hanno Gottschalk

We investigate the vacuum expectation value of the surface energy-momentum tensor (SEMT) for a scalar field with general curvature coupling in the geometry of two branes orthogonal to the boundary of anti-de Sitter (AdS) spacetime. For…

High Energy Physics - Theory · Physics 2024-01-23 A. A. Saharian

The energy-momentum tensor for a massless conformally coupled scalar field in de Sitter spacetime in the presence of a couple curved branes is investigated. We assume that the scalar field satisfies the Robin boundary condition on the…

High Energy Physics - Theory · Physics 2008-11-26 M R Setare

Vacuum expectation values of the energy-momentum tensor for a conformally coupled scalar field is investigated in de Sitter (dS) spacetime in presence of a curved brane on which the field obeys the Robin boundary condition with coordinate…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , M. R. Setare

The vacuum expectation values for the energy-momentum tensor of a massive scalar field with general curvature coupling and obeying the Robin boundary condition on spherically symmetric boundaries in D-dimensional space are investigated. The…

High Energy Physics - Theory · Physics 2009-10-31 Aram A. Saharian
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