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Related papers: Stress-Energy in the Conical Vacuum and its Implic…

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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

The regularized expectation value of the stress-energy tensor for a massless bosonic or fermionic field in 1+1 dimensions is calculated explicitly for the instantaneous vacuum relative to any Cauchy surface (here a spacelike curve) in terms…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Don N. Page

A quantum scalar field in a patch of a fixed, topology-changing, $1+1$ dimensional "trousers" spacetime is studied using the Sorkin-Johnston formalism. The isometry group of the patch is the dihedral group, the symmetry group of the square.…

General Relativity and Quantum Cosmology · Physics 2017-02-17 Michel Buck , Fay Dowker , Ian Jubb , Rafael Sorkin

Although the observed universe appears to be geometrically flat, it could have one of 18 global topologies. A constant-time slice of the spacetime manifold could be a torus, Mobius strip, Klein bottle, or others. This global topology of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. M. Sutter , Tsunefumi Tanaka

The vacuum expectation value of the stress-energy tensor is calculated for spin $1\over 2$ massive fields in several multiply connected flat spacetimes. We examine the physical effects of topology on manifolds such as $R^3 \times S^1$,…

General Relativity and Quantum Cosmology · Physics 2011-07-19 N. Ahmadi , M. Nouri-Zonoz

Topology change is considered to be a necessary feature of quantum gravity by some authors, and impossible by others. One of the main arguments against it is that spacetimes with changing spatial topology have bad causal properties. Borde…

General Relativity and Quantum Cosmology · Physics 2024-06-13 Leonardo García-Heveling

For the electromagnetic field in (D+1)-dimensional locally de Sitter (dS) spacetime, we analyze the effects of a generalized cosmic string type defect on the vacuum expectation value of the energy-momentum tensor. For the Bunch-Davies…

High Energy Physics - Theory · Physics 2023-06-21 A. A. Saharian , V. F. Manukyan , V. Kh. Kotanjyan , A. A. Grigoryan

We investigate topology change in (1+1) dimensions by analyzing the scalar-curvature action $1/2 \int R dV$ at the points of metric-degeneration that (with minor exceptions) any nontrivial Lorentzian cobordism necessarily possesses. In two…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jorma Louko , Rafael D. Sorkin

We calculate the expectation values of the energy-momentum tensor T_{{\mu}{\nu}} for massive scalar and spinor fields, in the Minkowski-like vacuum states on the two flat spaces which are quotients of Minkowski space under the discrete…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paul Langlois

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

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

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

A recent paper (2012 \emph{J. Phys.\ A} \textbf{45} 374018) is extended by investigating the behavior of the regularized quantum scalar stress tensor near the axes of cones and their covering manifold, the Dowker space. A cone is…

Mathematical Physics · Physics 2016-02-17 S. A. Fulling , F. D. Mera

Vacuum expectation value of the stress-energy-momentum tensor for scalar and spinor fields is obtainted on the homogeneous space with $G$-invariant metrics using the orbits of coadjoint representation of Lie group and the generalized…

Mathematical Physics · Physics 2010-12-30 A. I. Breev

Vacuum energy density and stresses are investigated for a scalar field with general curvature coupling parameter in (D+1)-dimensional de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions. The…

High Energy Physics - Theory · Physics 2009-04-24 A. A. Saharian

We investigate the effects of light-cone fluctuations over the renormalized vacuum expectation value of the stress-energy tensor of a real massless minimally coupled scalar field defined in a ($d+1$)-dimensional flat space-time with…

High Energy Physics - Theory · Physics 2014-05-27 V. A. De Lorenci , G. Menezes , N. F. Svaiter

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

It is known that the unregularized expressions for the stress-energy tensor components corresponding to subhorizon and superhorizon vacuum fluctuations of a massless scalar field in a Friedmann-Robertson-Walker background are characterized…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Ali Kaya

We investigate vacuum expectation value of the energy-momentum tensor for a massive Dirac field in flat spacetime with a toroidal subspace of a general dimension. Quasiperiodicity conditions with arbitrary phases are imposed on the field…

High Energy Physics - Theory · Physics 2024-08-09 A. A. Saharian , R. M. Avagyan , G. H. Harutyunyan , G. H. Nikoghosyan

Studies in 1+1 dimensions suggest that causally discontinuous topology changing spacetimes are suppressed in quantum gravity. Borde and Sorkin have conjectured that causal discontinuities are associated precisely with index 1 or n-1 Morse…

General Relativity and Quantum Cosmology · Physics 2009-10-31 H. F. Dowker , R. S. Garcia , S. Surya
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