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We study the influence of the shape of compact dimensions to the Casimir energy and Casimir force of a scalar field. We examine both the massive and the massless scalar field. The total spacetime topology is $M^D\times T^2_{\theta}$, where…

High Energy Physics - Theory · Physics 2011-01-20 V. K. Oikonomou

A mechanism of inflation from higher dimensions compactification is studied. An Early Universe capable of providing exponential growth for some dimensions and exponential contraction for others, giving therefore an explanation for the big…

General Relativity and Quantum Cosmology · Physics 2018-08-29 David Benisty , Eduardo I. Guendelman

In this paper we study dynamical compactification in Einstein-Gauss-Bonnet gravity from arbitrary dimension for generic values of the coupling constants. We showed that, when the curvature of the extra dimensional space is negative, for any…

General Relativity and Quantum Cosmology · Physics 2013-09-26 Fabrizio Canfora , Alex Giacomini , Sergey A. Pavluchenko

The influence of vector fields on the origin of a classical space in quantum cosmologies and on the possible compactification process in multidimensional gravity is investigated. It is shown that all general features of the transition…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Kirillov , G. V. Serebryakov

We conjecture that the extra dimensions are physical non-compact at high energy scale or high temperature; after the symmetry breaking or cosmological phase transition, the bulk cosmological constant may become negative, and then, the extra…

High Energy Physics - Theory · Physics 2014-11-18 Tianjun Li

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

Global properties of static, spherically symmetric configurations of scalar fields of sigma-model type with arbitrary potentials are studied in $D$ dimensions, including space-times containing multiple internal factor spaces. The latter are…

General Relativity and Quantum Cosmology · Physics 2015-06-25 K. A. Bronnikov , S. B. Fadeev , A. V. Michtchenko

Using a scalar field as an intrinsic 'clock' while investigating the dynamics of gravitational systems has been successfully pursued in various researches on the border between classical and quantum gravity. The objective of our research…

General Relativity and Quantum Cosmology · Physics 2015-09-25 Anna Nakonieczna , Jerzy Lewandowski

It is shown that the local coupling of a higher dimensional graviton to a closed degenerate two-form produces dimensional reduction by spontaneous breakdown of extra-dimensional translational symmetry. Four dimensional Poincar\'e invariance…

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

In this paper, we study the spontaneous scalarization of an extended, self-gravitating system which is static, cylindrically symmetric and possesses electromagnetic fields. We demonstrate that a real massive scalar field condenses on this…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Yves Brihaye , Rogério Capobianco , Betti Hartmann

We give a prescription to add the gravitational field of a global topological defect to a solution of Einstein's equations in an arbitrary number of dimensions. We only demand that the original solution has a O(n) invariance with n greater…

High Energy Physics - Theory · Physics 2009-11-07 Itsaso Olasagasti

We investigate the influence of the helical compactification of spatial dimension on the local properties of the vacuum state for a charged scalar field with general curvature coupling parameter. A general background geometry is considered…

High Energy Physics - Theory · Physics 2025-01-22 R. M. Avagyan , A. A. Saharian , D. H. Simonyan , G. H. Harutyunyan

We consider a class of generalized FRW type metrics in the context of higher dimensional Einstein gravity in which the extra dimensions are allowed to have different scale factors. It is shown that noncommutativity between the momenta…

High Energy Physics - Theory · Physics 2008-11-26 N. Khosravi , H. R. Sepangi , M. M. Sheikh-Jabbari

We consider the cosmological role of the scalar fields generated by the compactification of 11-dimensional Einstein gravity on a 7D elliptic twisted torus, which has the attractive features of giving rise to a positive semi-definite…

High Energy Physics - Theory · Physics 2008-11-26 Josef L. P. Karthauser , P. M. Saffin , Mark Hindmarsh

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

We investigate the Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor for a scalar field with general curvature coupling parameter in $(D+1)$-dimensional de Sitter spacetime with an arbitrary…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , A. A. Saharian

Black holes in our Universe are rarely truly isolated, being instead embedded in astrophysical environments such as plasma or dark matter. A particularly intriguing possibility is that light scalar fields form bound states around black…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Matteo Della Rocca , Thomas F. M. Spieksma , Francisco Duque , Leonardo Gualtieri , Vitor Cardoso

We consider warped compactifications in (4+d)-dimensional theories, with four dimensional de Sitter dS_4 vacua (with Hubble parameter H) and with a compact internal space. After introducing a gauge-invariant formalism for the generic metric…

High Energy Physics - Theory · Physics 2010-11-19 Carlo Contaldi , Lev Kofman , Marco Peloso

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

Noncommutative gravity in three dimensions with vanishing cosmological constant is examined. We find a solution which describes a spacetime in the presence of a torsional source. We estimate the phase shift for each partial wave of a scalar…

High Energy Physics - Theory · Physics 2010-11-11 Kiyoshi Shiraishi , Kenji Sakamoto , Nahomi Kan