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Effects of quantized free scalar fields in cosmological spacetimes with Big Rip singularities are investigated. The energy densities for these fields are computed at late times when the expansion is very rapid. For the massless minimally…

General Relativity and Quantum Cosmology · Physics 2011-04-26 Jason D. Bates , Paul R. Anderson

It is shown that flat spacetime can be dressed with a real scalar field that satisfies the nonlinear Klein-Gordon equation without curving spacetime. Surprisingly, this possibility arises from the nonminimal coupling of the scalar field…

High Energy Physics - Theory · Physics 2007-05-23 Eloy Ayón-Beato , Cristián Martínez , Ricardo Troncoso , Jorge Zanelli

The vacuum expectation value of the stress energy tensor for a massive scalar field with arbitrary coupling in flat spaces with non-trivial topology is discussed. We calculate the Casimir energy in these spaces employing the recently…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Ahmadi , M. Nouri-Zonoz

We discuss role of partially gravitating scalar fields, scalar fields whose energy-momentum tensors vanish for a subset of dimensions, in dynamical compactification of a given set of dimensions. We show that the resulting spacetime exhibits…

High Energy Physics - Theory · Physics 2008-11-26 Durmus A. Demir , Beyhan Pulice

We consider a massless quantum scalar field on a two-dimensional space-time describing a thin shell of matter collapsing to form a Schwarzschild-anti-de Sitter black hole. At early times, before the shell starts to collapse, the quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Paul G. Abel , Elizabeth Winstanley

False vacuum decay in field theory may be formulated as a boundary value problem in Euclidean space. In a previous work, we studied its solution in single scalar field theories with quadratic gravity and used it to find obstructions to…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Silvia Vicentini , Massimiliano Rinaldi

We study the vacuum zero point energy associated to a scalar field with an arbitrary mass and conformal coupling in a dS background. Employing dimensional regularization scheme, we calculate the regularized zero point energy density,…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Hassan Firouzjahi , Haidar Sheikhahmadi

We consider $d$-dimensional static spacetimes in Einstein gravity with a cosmological constant in the presence of a minimally coupled massless scalar field. The spacetimes have a $(d-2)$-dimensional base manifold given by an Einstein space…

High Energy Physics - Theory · Physics 2012-06-08 Sebastian Garcia Saenz , Cristian Martinez

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

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

Gott spacetime has closed timelike curves, but no locally anomalous stress-energy. A complete orthonormal set of eigenfunctions of the wave operator is found in the special case of a spacetime in which the total deficit angle is $2\pi$. A…

High Energy Physics - Theory · Physics 2009-10-22 David G. Boulware

The renormalized mean value of the corresponding components of the Energy-Momentum tensor for massive scalar fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are analytically evaluated using the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Owen Pavel Fernandez Piedra , Alejandro Cabo Montes de Oca

We investigate the Wightman function, the vacuum expectation values of the field squared and the energy-momentum tensor for a massless scalar field with general curvature coupling parameter in spatially flat Friedmann-Robertson-Walker…

High Energy Physics - Theory · Physics 2010-08-11 A. A. Saharian , A. L. Mkhitaryan

We discuss the weight of vacuum energy in various contexts. First, we compute the vacuum energy for flat spacetimes of the form $\mathbb{T}^3 \times \mathbb{R}$, where $\mathbb{T}^3$ stands for a general 3-torus. We discover a quite simple…

High Energy Physics - Theory · Physics 2021-04-28 Enrique Alvarez , Jesus Anero , Raquel Santos-Garcia

We investigate the vacuum expectation value of a complex scalar field on a two-dimensional torus with quantized magnetic flux $M$. A characteristic feature of this system is the emergence of a critical area: when the area of the torus…

High Energy Physics - Theory · Physics 2026-04-27 Mayumi Akamatsu , Hiroki Imai , Makoto Sakamoto , Maki Takeuchi

As a spacetime with compact spatial sections, de Sitter spacetime does not have a de Sitter-invariant ground state for a minimally-coupled massless scalar field that gives definite expectation values for any observables not invariant under…

High Energy Physics - Theory · Physics 2015-06-04 Don N. Page , Xing Wu

A scalar field in (2+1) dimensional Minkowski space-time is considered. Postulating noncommutative spatial coordinates, one is able to determine the (UV finite) vacuum expectation value of the quantum field energy momentum tensor.…

High Energy Physics - Theory · Physics 2007-05-23 P. Nicolini

The renormalized quantum stress energy tensor $\left<T_{\mu}^{\nu}\right>_{ren}$ for a massive spinor field around global monopoles is constructed within the framework of Schwinger-DeWitt approximation, valid whenever the Compton length of…

General Relativity and Quantum Cosmology · Physics 2019-04-30 Owen Pavel Fernández Piedra

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 analyze the gravity-induced effects associated with a massless scalar field in a higher-dimensional spacetime being the tensor product of $(d-n)$-dimensional Minkowski space and $n$-dimensional spherically/cylindrically-symmetric space…

High Energy Physics - Theory · Physics 2017-03-08 Yuri V. Grats , Pavel Spirin