Casimir effect in a 'half Einstein universe': an exactly solvable case in curved background and with a spherical boundary

1993 ◽  
Vol 10 (9) ◽  
pp. L115-L121 ◽  
Author(s):  
S S Bayin ◽  
M Ozcan
Keyword(s):  
Casimir Effect ◽  
Einstein Universe ◽  
Solvable Case ◽  
Spherical Boundary ◽  
Exactly Solvable

scholarly journals Explore or Exploit? A Generic Model and an Exactly Solvable Case

2014 ◽  
Vol 112 (5) ◽  
Author(s):  
Thomas Gueudré ◽  
Alexander Dobrinevski ◽  
Jean-Philippe Bouchaud
Keyword(s):  
Generic Model ◽  
Solvable Case ◽  
Exactly Solvable

scholarly journals Vacuum instability in time-dependent electric fields: New example of an exactly solvable case

2021 ◽  
Vol 104 (7) ◽  
Author(s):  
A. I. Breev ◽  
S. P. Gavrilov ◽  
D. M. Gitman ◽  
A. A. Shishmarev
Keyword(s):  
Electric Fields ◽  
Time Dependent ◽  
Solvable Case ◽  
Exactly Solvable ◽  
Vacuum Instability

Remarks on a gravitational analogue of the Casimir effect

2016 ◽  
Vol 25 (09) ◽  
pp. 1641018 ◽  
Author(s):  
V. B. Bezerra ◽  
H. F. Mota ◽  
C. R. Muniz
Keyword(s):  
Scalar Field ◽  
Cosmic String ◽  
Vacuum Energy ◽  
Casimir Effect ◽  
String Tension ◽  
Casimir Energy ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Quantum Field ◽  
Einstein Universe

We consider the Casimir effect, by calculating the Casimir energy and its corrections for nonzero temperatures, of a massless scalar field in the spacetime with topology [Formula: see text] (Einstein universe) containing an idealized cosmic string. The obtained results confirm the role played by the identifications imposed on the quantum field by boundary conditions arising from the topology of the gravitational field under consideration and illustrate a realization of a gravitational analogue of the Casimir effect. In this backgorund, we show that the vacuum energy can be written as a term which corresponds to the vacuum energy of the massless scalar field in the Einstein universe added by another term that formally corresponds to the vacuum energy of the electromagnetic field in the Einstein universe, multiplied by a parameter associated with the presence of the cosmic string, namely, [Formula: see text], where [Formula: see text] is a constant related to the cosmic string tension, [Formula: see text].

scholarly journals SCALAR CASIMIR EFFECT BETWEEN TWO CONCENTRIC SPHERES

2012 ◽  
Vol 27 (16) ◽  
pp. 1250082 ◽  
Author(s):  
MUSTAFA ÖZCAN
Keyword(s):  
Scalar Field ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Outer Radius ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Parallel Plates ◽  
New Approach ◽  
Concentric Spheres ◽  
Spherical Boundary

The Casimir effect giving rise to an attractive force between the closely spaced two concentric spheres that confine the massless scalar field is calculated by using a direct mode summation with contour integration in the complex plane of eigenfrequencies. We developed a new approach appropriate for the calculation of the Casimir energy for spherical boundary conditions. The Casimir energy for a massless scalar field between the closely spaced two concentric spheres coincides with the Casimir energy of the parallel plates for a massless scalar field in the limit when the dimensionless parameter η, ([Formula: see text] where a(b) is inner (outer) radius of sphere), goes to zero. The efficiency of new approach is demonstrated by calculation of the Casimir energy for a massless scalar field between the closely spaced two concentric half spheres.

scholarly journals Testing viscous and anisotropic hydrodynamics in an exactly solvable case

2013 ◽  
Vol 88 (2) ◽  
Author(s):  
Wojciech Florkowski ◽  
Radoslaw Ryblewski ◽  
Michael Strickland
Keyword(s):  
Solvable Case ◽  
Exactly Solvable
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