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We examine the effects of spatial topology, curvature, and magnetic flux on the vacuum expectation value (VEV) of the current density for a charged scalar field in (2+1)-dimensional spacetime. The elliptic pseudosphere is considered as an…

High Energy Physics - Theory · Physics 2025-11-07 A. A. Saharian , G. V. Mirzoyan

We present in this paper a covariant quantization of the ``massive'' vector field on de Sitter (dS) space based on analyticity in the complexified pseudo-Riemanian manifold. The correspondence between unitary irreducible representations of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J-P. Gazeau , M. V. Takook

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

This paper continues the investigation of constant mean curvature (CMC) time functions in maximal globally hyperbolic spatially compact spacetimes of constant sectional curvature, which was started in math.DG/0604486. In that paper, the…

Differential Geometry · Mathematics 2007-05-23 Lars Andersson , Thierry Barbot , Francois Beguin , Abdelghani Zeghib

Using a lattice equation of state combined with the D-dimensional Tolman-Oppenheimer-Volkoff equation and the Friedmann equations, we investigate the possibility of the formation of compact objects as well as the time evolution of the scale…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Benaoumeur Bakhti

We revisit conformal time $\eta$ in a spatially flat Friedmann--Robertson--Walker universe and use a $1+1$-dimensional setting as a technically transparent pedagogical arena. Our purpose is to clarify the relation among cosmic time $t$,…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Tahereh Aeenehvand , Ahmad Shariati

Motivated by recent proposals for a de Sitter version of the AdS/CFT correspondence, we give some topological restrictions on spacetimes of de Sitter type, i.e., spacetimes with $\Lambda>0$, which admit a regular past and/or future…

High Energy Physics - Theory · Physics 2014-11-18 Lars Andersson , Gregory J. Galloway

Three-dimensional warped anti-de Sitter space in topologically massive gravity with a negative cosmological constant has been proposed to be holographically dual to a two-dimensional conformal field theory. We extend this proposal to both…

High Energy Physics - Theory · Physics 2010-02-23 Dionysios Anninos

Explicit time-dependent solutions of the 10D vacuum Einstein equations are found for which spacetime is compactified on six-dimensional warped spaces. We explicitly work out an example where the internal manifold is a six-dimensional…

High Energy Physics - Theory · Physics 2014-11-18 Ishwaree P. Neupane

We study the fermionic condensate (FC) and the vacuum expectation value (VEV) of the energy-momentum tensor for a massive spinor field in the de Sitter (dS) spacetime including an ideal cosmic string. In addition, spatial dimension along…

High Energy Physics - Theory · Physics 2020-03-04 E. A. F. Bragança , E. R. Bezerra de Mello , A. Mohammadi

Anti-de Sitter spacetime and the static patch of de Sitter spacetime are arenas for investigating thermal and finite-size effects seen by an accelerated quantum observer. We consider an Unruh-DeWitt detector in uniform circular motion…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Cameron R. D. Bunney , Jorma Louko

Quantum field theories on noncommutative Minkowski space are studied in a model-independent setting by treating the noncommutativity as a deformation of quantum field theories on commutative space. Starting from an arbitrary Wightman…

Mathematical Physics · Physics 2011-04-14 Harald Grosse , Gandalf Lechner

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

We study the vacuum polarization of a massive scalar field $\phi$ with arbitrary coupling to gravity in pointlike global monopole spacetime. Using Schwinger-DeWitt proper time formalism, we calculate the vacuum expectation value…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Owen Pavel Fernández Piedra

De Sitter space-time, essentially our own universe, is plagued by problems at the quantum level. Here we propose that Lorentzian de Sitter space-time is not fundamental but constitutes only an effective description of a more fundamental…

High Energy Physics - Theory · Physics 2023-04-12 Carlo A. Trugenberger

Vacuum energy density and stresses are investigated for a scalar field in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions and in anti-de Sitter spacetime with two parallel branes. On the branes the…

High Energy Physics - Theory · Physics 2012-10-01 A. A. Saharian

The characterization of a six- (or seven)-dimensional internal manifold with metric as having positive, zero or negative curvature is expected to be an important aspect of warped compactifications in supergravity. In this context, Douglas…

High Energy Physics - Theory · Physics 2011-05-16 Ishwaree P. Neupane

We present a physically motivated dark-energy (DE) model rooted in the topological structure of the Quantum ChromoDynamic (QCD) vacuum. In this framework, DE arises from the difference between the vacuum energy of an expanding FRW universe…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-03 Ludovic Van Waerbeke , Ariel Zhitnitsky

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

Massless minimally coupled quantum scalar field with an asymmetric self interaction, $V(\phi)=\lambda \phi^4/4!+ \beta \phi^3/3! $ (with $\lambda >0$) is considered in the $(3+1)$-dimensional inflationary de Sitter spacetime. This potential…

High Energy Physics - Theory · Physics 2022-09-21 Sourav Bhattacharya