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We study the renormalized stress-energy tensor (RSET) for static quantum states on (n+1)-dimensional, static, spherically symmetric black holes. By solving the conservation equations, we are able to write the stress-energy tensor in terms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dean Morgan , Stuart Thom , Elizabeth Winstanley , Phil M. Young

We study the renormalized stress-energy tensor (RSET) for a massless, conformally coupled scalar field on global anti-de Sitter space-time in four dimensions. Robin (mixed) boundary conditions are applied to the scalar field. We compute…

High Energy Physics - Theory · Physics 2024-04-16 Thomas Morley , 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

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 study the quantum radiation from a curved background using scalar observables constructed from the (1+1) dimensional renormalized stress-energy tensor (RSET). We compute energy density $\cal U$, flux $\cal F$ and pressure $\cal P$ for an…

General Relativity and Quantum Cosmology · Physics 2020-11-13 Micheal S. Berger , Zhi Liu

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 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

We calculate the effects of quantum fluctuations of a scalar field in the "ballpoint pen" cosmic string geometry. Using the approach to renormalization established previously for the energy density in two space dimensions, we extend those…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Noah Graham

We compute the Renormalized Stress-Energy Tensor (RSET) of a massless minimally coupled scalar field in the Regularized Polyakov approximation, as well as its backreaction, on the classical Reissner-Nordstr\"om spacetime. The complete set…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Julio Arrechea , Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

In quantum field theory in curved backgrounds, one typically distinguishes between objective, tensorial, quantities such as the Renormalized Stress-Energy Tensor (RSET) and subjective, non-tensorial, quantities such as Bogoliubov…

General Relativity and Quantum Cosmology · Physics 2016-09-19 Luis C. Barbado , Carlos Barceló , Luis J. Garay , Gil Jannes

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

This paper is devoted to the construction of the renormalized quantum stress energy tensor $\left<T_{\mu}^{\nu}\right>_{ren}$ for a massive scalar field with arbitrary coupling to the gravitational field of a pointlike global monopole,…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Owen Pavel Fernández Piedra

The existence of trace anomalies for conformally coupled quantum fields in curved spacetimes, despite the vanishing of the trace of the conformally invariant classical stress-energy tensor, was firmly established in the 1970's, and…

General Relativity and Quantum Cosmology · Physics 2018-08-30 James M. Bardeen

The generalized noncommutative Heisenberg algebra, which is based on the generalized uncertainty principle, imposes a minimal length uncertainty on quantum mechanics (QM), on one hand. On the other hand, the quantum-induced spacetime which…

General Relativity and Quantum Cosmology · Physics 2026-05-26 A. Tawfik , Saleh O. Allehabi , A. A. Alshehri , M. Nasar , M. Maher

The approximation of the renormalized stress-energy tensor of the quantized massive scalar, spinor, and vector field in the Reissner- Nordstrom spacetime is constructed. It is achieved by functional differentiation of the lowest order of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jerzy Matyjasek

The stress-energy tensor of a matter shell whose history coincides with a null hypersurface in the Einstein-Cartan gravity is revisited. It is demonstrated that with a proper choice for the torsion discontinuity taken to be orthogonal to…

General Relativity and Quantum Cosmology · Physics 2020-01-08 S. Khakshournia , R. Mansouri

We consider a massive scalar field living on the recently found exact quantum space-time corresponding to vacuum spherically symmetric loop quantum gravity. The discreteness of the quantum space time naturally regularizes the scalar field,…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Nahuel Barrios , Rodolfo Gambini , Jorge Pullin

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

We investigate the effects of quantum backreaction on the Schwarzschild geometry in the semiclassical approximation. The renormalized stress-energy tensor (RSET) of a scalar field is modelled via an order reduction of the analytical…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Julio Arrechea , Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

A method for computing the stress-energy tensor for the quantized, massless, spin 1/2 field in a general static spherically symmetric spacetime is presented. The field can be in a zero temperature state or a non-zero temperature thermal…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Peter B. Groves , Paul R. Anderson , Eric D. Carlson
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