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We compute the Casimir energy for a free scalar field on the spaces $\,R^{m+1}\,\times\,\tilde S^2\,$ where $,\tilde S^2\,$ is two-dimensional deformed two-sphere.

High Energy Physics - Theory · Physics 2016-09-06 N. ~Shtykov , D. ~V. ~Vassilevich

We study in Kaluza-Klein theories stability of the extra space against "squashing", in other words, the homogeneous deformation. Quantum fluctuations of matter fields at one-loop level are taken into consideration. We calculate the…

High Energy Physics - Theory · Physics 2014-06-23 Kiyoshi Shiraishi

We investigate the role of Casimir energy as a mechanism for brane stability in five-dimensional models with the fifth dimension compactified on an S^1\Z_2 orbifold, which includes the Randall-Sundrum two brane model (RS1). We employ a…

High Energy Physics - Theory · Physics 2011-01-17 Richard Obousy , Gerald Cleaver

We compute the renormalised energy momentum tensor of a free scalar field coupled to gravity on an (n+1)-dimensional Einstein Static Universe (ESU), RxS^n, with arbitrary low energy effective operators (up to mass dimension n+1). A generic…

High Energy Physics - Theory · Physics 2008-11-26 Carlos A. R. Herdeiro , Raquel H. Ribeiro , Marco Sampaio

Kaluza-Klein compactifications with four-dimensional inflationary geometry combine the attractive idea of higher dimensional models with the attempt to incorporate four-dimensional early-time or late-time cosmology. We analyze the mass…

High Energy Physics - Theory · Physics 2010-11-19 Johannes U. Martin

We investigate the Wightman function, the vacuum expectation values of the field squared and the energy-momentum tensor for a massive scalar field with general curvature coupling in the generalized cosmic string geometry with a compact…

High Energy Physics - Theory · Physics 2012-01-17 E. R. Bezerra de Mello , A. A. Saharian

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

The vacuum expectation values for the energy-momentum tensor of a massive scalar field with general curvature coupling and obeying the Robin boundary condition on spherically symmetric boundaries in D-dimensional space are investigated. The…

High Energy Physics - Theory · Physics 2009-10-31 Aram A. Saharian

The Casimir energy for a massless scalar field between the closely spaced two concentric D-dimensional (for D>3) spheres is calculated by using the mode summation with contour integration in the complex plane of eigenfrequencies and the…

Quantum Physics · Physics 2012-07-20 Mustafa Özcan

We examine the Casimir energy of 5D electro-magnetism in the recent standpoint. Z$_2$ symmetry is taken into account. After confirming the consistency with the past result, we do new things based on a new regularization. The regularization…

High Energy Physics - Theory · Physics 2007-12-27 Shoichi Ichinose

In this letter, we derive the explicit exact formulas for the finite temperature Casimir force acting on a pair of parallel plates in the presence of extra compactified dimensions within the framework of Kaluza-Klein theory. Using the…

High Energy Physics - Theory · Physics 2009-02-26 L. P. Teo

We present a rigorous, regularization independent local quantum field theoretic treatment of the Casimir effect for a quantum scalar field of mass $\mu\ne0$ which yields closed form expressions for the energy density and pressure. As an…

General Relativity and Quantum Cosmology · Physics 2015-05-13 G. Gazzola , M. C. Nemes , W. F. Wreszinski

The Casimir effect for a massless scalar field on the helix boundary condition which is named as quantum spring is studied in our recent paper\cite{Feng}. In this paper, the Casimir effect of the quantum spring is investigated in…

High Energy Physics - Theory · Physics 2011-04-08 Xiang-hua Zhai , Xin-zhou Li , Chao-Jun Feng

The Casimir effect for massless scalar fields satisfying Dirichlet boundary conditions on the parallel plates in the presence of one fractal extra compactified dimension is analyzed. We obtain the Casimir energy density by means of the…

High Energy Physics - Theory · Physics 2015-05-28 Hongbo Cheng

Using the language of differential forms, the Kaluza-Klein theory in 4+1 dimensions is derived. This theory unifies electromagnetic and gravitational interactions in four dimensions when the extra space dimension is compactified. Without…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ingunn Kathrine Wehus , Finn Ravndal

We study the Casimir effect in the presence of an extra dimension compactified on a circle of radius R ($M^4\times S^1$ spacetime). Our starting point is the Kaluza Klein decomposition of the 5D Maxwell action into a massless sector…

High Energy Physics - Theory · Physics 2011-04-28 Ariel Edery , Valery Marachevsky

Compact stars in the Kaluza-Klein space-time are investigated, with multiple additional compactified spatial dimensions ($d$). Within the extended phenomenological model, a static, spherically symmetric solution is considered, with the…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Anna Horváth , Emese Forgács-Dajka , Gergely Gábor Barnaföldi

We consider a theory of scalar QED on a spatially compact 1+1-dimensional spacetime. By considering a constant electric field pointing down the compact dimension, we compute the quantum effective action by integrating out the scalar degrees…

High Energy Physics - Theory · Physics 2021-06-29 Prasant Samantray , Suprit Singh

We employ a Kaluza-Klein dimensional reduction process on the action of the antisymmetric tensor field in five-dimensional space-time. The result is a joint field theory of four-dimensional antisymmetric and vector fields. We write the…

High Energy Physics - Theory · Physics 2014-09-03 Michael Kalb

We investigate the response of Casimir energies to fluctuations in a scalar field in a weak gravitational field in the $\kappa$-deformed space-time. We model the Casimir plates in a gravitational field by $\kappa$-deformed Rindler…

High Energy Physics - Theory · Physics 2024-07-08 E. Harikumar , K. V. Shajesh , Suman Kumar Panja