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We compute the leading order contribution to the stress-energy tensor corresponding to the modes of a quantum scalar field propagating in a Friedmann-Robertson-Walker universe with arbitrary coupling to the scalar curvature, whose exact…

General Relativity and Quantum Cosmology · Physics 2011-05-02 Ali Kaya , Merve Tarman

We consider a quantum field which is in a Hartle-Hawking state propagating in a spherically symmetric black hole space-time. We calculate the components of the stress tensor, renormalized using the Hadamard form of the Green's function, in…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Cormac Breen , Adrian C. Ottewill

In the study of quantum vacuum energy and the Casimir effect, it is desirable to model the conductor by a potential of the form $V(z)=z^\alpha$. This "soft wall" model was proposed so as to avoid the violation of the principle of virtual…

High Energy Physics - Theory · Physics 2022-06-09 Agam Shayit , S. A. Fulling , T. E. Settlemyre , Joseph Merritt

The article proposes an amendment to the relativistic continuum mechanics which introduces the relationship between density tensors and the curvature of spacetime. The resulting formulation of a symmetric stress-energy tensor for a system…

General Physics · Physics 2023-12-19 Piotr Ogonowski

We show the linear response theory of spatial-scale-dependent relaxation moduli for overdamped Brownian particle systems. We employ the Irving-Kirkwood stress tensor field as the microscopic stress tensor field. We show that the…

Soft Condensed Matter · Physics 2022-06-27 Takashi Uneyama

We present a study of energy density and pressure of a free real scalar quantum field after its decoupling from a thermal bath in the spatially flat Friedman-Lema\^itre-Robertson-Walker space-time by solving the Klein-Gordon equation both…

General Relativity and Quantum Cosmology · Physics 2025-04-15 F. Becattini , D. Roselli

We give a short review of the recent development in the investigation of the vacuum expectation values of the bulk and surface energy-momentum tensors generated by quantum fluctuations of a massive scalar field with general curvature…

High Energy Physics - Theory · Physics 2007-05-23 Aram A. Saharian

Computation of the renormalized stress-energy tensor is the most serious obstacle in studying the dynamical, self-consistent, semiclassical evaporation of a black hole in 4D. The difficulty arises from the delicate regularization procedure…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Adam Levi , Amos Ori

We study the quantum stress tensor correlation function for a massless scalar field in a flat two-dimensional spacetime containing a moving mirror. We construct the correlation functions for right-moving and left-moving fluxes for an…

General Relativity and Quantum Cosmology · Physics 2009-11-10 L. H. Ford , Thomas A. Roman

A method is presented for computing approximate expressions for the stochastic force term $\xi_{ab}$ which appears in the Einstein-Langevin equation of stochastic gravity. Within this framework, $\xi_{ab}$ is a stochastic tensor field whose…

General Relativity and Quantum Cosmology · Physics 2013-03-08 Jason D. Bates

A class of simple kinetic systems is considered, described by the 1D Vlasov-Landau equation with Poisson or Boltzmann electrostatic response and an energy source. Assuming a stochastic electric field, a solvable model is constructed for the…

Plasma Physics · Physics 2018-01-29 T. Adkins , A. A. Schekochihin

We propose a method for calculating vacuum fluctuations on the background of a spherical impulsive gravitational wave which results in a finite expression for the vacuum expectation value of the stress-energy tensor. The method is based on…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Hortaçsu

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

The vacuum expectation value of the stress-energy tensor $\left\langle 0\left| T_{\mu\nu} \right|0\right\rangle$ is calculated in several multiply connected flat spacetimes for a massive scalar field with arbitrary curvature coupling. We…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Tsunefumi Tanaka , William A. Hiscock

Vacuum expectation values of the surface energy-momentum tensor is investigated for a massless scalar field obeying mixed boundary condition on a brane in de Sitter bulk. To generate the corresponding vacuum surface densities we use the…

High Energy Physics - Theory · Physics 2014-11-18 M R Setare

For many quantum field theory computations in cosmology it is not possible to use the flat space trick of obtaining full, interacting states by evolving free states over infinite times. State wave functionals must be specified at finite…

General Relativity and Quantum Cosmology · Physics 2010-01-22 E. O. Kahya , V. K. Onemli , R. P. Woodard

Quantum stress-energy tensors of fields renormalized on a Schwarzschild background violate the classical energy conditions near the black hole. Nevertheless, the associated equilibrium thermodynamical entropy $\Delta S$ by which such fields…

General Relativity and Quantum Cosmology · Physics 2009-12-30 David Hochberg , Thomas Kephart , James W. York

We construct a simple algorithm to derive number density of spin 1/2 particles created in spatially flat FLRW spacetimes and resulting renormalized energy-momentum tensor within the framework of adiabatic regularization. Physical quantities…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Suman Ghosh

The time-dependent cosmological term arises from the energy-momentum tensor calculated in a state different from the ground state. We discuss the expectation value of the energy-momentum tensor on the rhs of Einstein equations in various…

General Relativity and Quantum Cosmology · Physics 2020-06-02 Zbigniew Haba

Aim of the paper is to obtain 2d analogue of the backreaction equation which will be useful to study final state of quantum perturbed spherically symmetric curved space times. Thus we take Einstein-massless-scalar $\psi$ tensor gravity…

High Energy Physics - Theory · Physics 2016-09-08 Hossein Ghaffarnejad