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This paper deals thoroughly with the scalar and electromagnetic fields of uniformly accelerated charges in de Sitter spacetime. It gives details and makes various extensions of our Physical Review Letter from 2002. The basic properties of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Jiri Bicak , Pavel Krtous

Dynamical systems methods are used to investigate dynamics of a flat Friedmann-Robertson-Walker cosmological model with the non-minimally coupled scalar field and a potential function. Performed analysis distinguishes the value of…

General Relativity and Quantum Cosmology · Physics 2020-09-07 Orest Hrycyna

We investigate the implications of a fundamental length scale on the centripetal force on a rotating Casimir apparatus in $\kappa$-space-time. We model the Casimir apparatus rotating with constant angular speed using appropriate…

High Energy Physics - Theory · Physics 2025-03-04 E. Harikumar , K. V. Shajesh , Suman Kumar Panja

We apply the quasi-local stress-energy tensor formalism to the Casimir effect of a scalar field confined between conducting planes located in a static spacetime. We show that the surface energy vanishes for both Neumann and Dirichlet…

High Energy Physics - Theory · Physics 2022-10-07 Borzoo Nazari

It is known that odd-dimensional de Sitter space acts as a transparent potential for free fields. Previous studies have explained this phenomena by relating de Sitter free field equations of motion to the time-independent Schrodinger…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Garrett Compton , Ian A. Morrison

We study the distribution of quantum steerability for continuous variables between two causally disconnected open charts in de Sitter space. It is shown that quantum steerability suffers from "sudden death" in de Sitter space, which is…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Cuihong Wen , Jieci Wang , Jiliang Jing

We study the Casimir effect for a parallel plate setup with one plate with dynamical edge mode (DEM) boundary conditions, and one plate with perfect electromagnetic conductor (PEMC) boundary conditions. In order to restore BRST invariance,…

High Energy Physics - Theory · Physics 2026-05-12 Jarne Devroe , David Dudal , Sebbe Stouten

In this paper we investigate the vacuum polarization effects associated with a massive quantum scalar field in de Sitter spacetime in the presence of gravitational topological defects. Specifically we calculate the vacuum expectation value…

High Energy Physics - Theory · Physics 2015-05-18 E. R. Bezerra de Mello

The entire classical cosmological history between two extreme de Sitter vacuum solutions is discussed based on Einstein's equations and non-equilibrium thermodynamics. The initial non-singular de Sitter state is characterised by a very high…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-02 P. E. M. Almeida , R. C. Santos , J. A. S. Lima

In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. The breaking of Lorentz invariance is implemented by a constant space-like vector…

High Energy Physics - Theory · Physics 2025-06-13 Andrea Erdas

The Casimir friction problem for dielectric plates that move parallel to each other is treated by assuming one of the plates to be at rest. The other performs a closed loop motion in the longitudinal direction. Therewith by use of energy…

Quantum Physics · Physics 2014-03-27 Johan S. Høye , Iver Brevik

We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet…

Quantum Physics · Physics 2018-03-23 Michael Bordag , Irina G. Pirozhenko

We propose a new approach to compute correlators of quantum fields in de Sitter space. It is based on nonequilibrium field theory techniques, and exploits de Sitter symmetries so as to partially reduce the number of independent variables of…

High Energy Physics - Theory · Physics 2015-06-12 R. Parentani , J. Serreau

We investigate the details of the canonical quantization of effective quantum field theories in anti-de Sitter spacetime, emphasizing the stability of the quantum vacuum. We take the scalar and Maxwell fields as examples. For the…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Shi-Yuan Li , Chengwu Liu

The Casimir stress on a cylinderical shell in background of conformally flat space-time for massless scalar field is investigated. In the general case of Robin (mixed) boundary condition formulae are derived for the vacuum expectation…

High Energy Physics - Theory · Physics 2008-11-26 M R Setare

Behaviour of a weekly self-interacting scalar field with a small mass in the de Sitter background is investigated using the stochastic approach (including the case of a double-well interaction potential). Existence of the de Sitter…

Astrophysics · Physics 2010-04-06 Alexei A. Starobinsky , Jun'ichi Yokoyama

We study the Dirichlet Casimir effect for a complex scalar field on two noncommutative spatial coordinates plus a commutative time. To that end, we introduce Dirichlet-like boundary conditions on a curve contained in the spatial plane, in…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , G. A. Moreno

We consider a universe with a compact extra dimension and a cosmological constant emerging from a suitable ultraviolet cutoff on the zero point energy of the vacuum. We derive the Casimir force between parallel conducting plates as a…

Astrophysics · Physics 2008-11-26 Leandros Perivolaropoulos

We calculate the finite vacuum energy density of the scalar and electromagnetic fields inside a Casimir apparatus made up of two conducting parallel plates in a general weak gravitational field. The metric of the weak gravitational field…

High Energy Physics - Theory · Physics 2015-10-28 Borzoo Nazari

In this paper we correct a previously obtained expression for the Casimir-Lifshitz attraction force (Dedkov, Kyasov, Surf. Sci., 2010) in a system of two parallel plates in relative nonrelativistic motion, assuming the total thermal…

Quantum Physics · Physics 2014-09-01 A. A. Kyasov , G. V. Dedkov