Thermal Casimir effect in closed Friedmann universe revisited

Journal Article · Sun May 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.104042· OSTI ID:21502613

Bezerra, V B; Romero, C ^[1]; Klimchitskaya, G L ^[1]; Mostepanenko, V M ^[1]

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1. Department of Physics, Federal University of Paraiba, C.P.5008, CEP 58059-970, Joao Pessoa, Pb (Brazil)

We reconsider Casimir free energy and internal energy at nonzero temperature in the static Einstein and closed Friedmann universe. It is shown that the Casimir free energy is given by the difference between the free energy of a topologically nontrivial manifold and a tangential Minkowski space-time. We derive exact expressions for the Casimir free energy, internal energy and pressure in Einstein and Friedmann universes in terms of single sums. The Casimir entropy is shown to satisfy the Nernst heat theorem. Exact expressions for corresponding total quantities in the Einstein universe are obtained from the Casimir ones by adding a contribution of the black-body radiation. The asymptotic expressions for the Casimir free energy and internal energy at both high and low temperature are shown to be in direct analogy with those for two ideal-metal plates and an ideal-metal spherical shell. Specifically, at high temperature the classical limit holds.

• OSTI ID: 21502613
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ASYMPTOTIC SOLUTIONS
BLACKBODY RADIATION
CASIMIR EFFECT
CONFIGURATION
ELECTROMAGNETIC RADIATION
ENERGY
ENTROPY
FREE ENERGY
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
MINKOWSKI SPACE
NERNST HEAT THEOREM
PHYSICAL PROPERTIES
RADIATIONS
SIMULATION
SPACE
SPACE-TIME
SPHERICAL CONFIGURATION
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES
UNIVERSE