Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons

• Published in: The European physical journal. C, Particles and fields Vol. 77; no. 11; pp. 1 - 7
• Main Authors: Bezerra, V. B., Christiansen, H. R., Cunha, M. S., Muniz, C. R., Tahim, M. O.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2017; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Astronomy; Astrophysics and Cosmology; Elementary Particles; Entropy; Flux density; Free energy; Gravitons; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nernst-Ettingshausen effect; Nuclear Energy; Nuclear Physics; Parallel plates; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Relativity; Spacetime; String Theory; Thermodynamics
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-017-5378-4

Starting from an analytical expression for the Helmholtz free energy we calculate the thermal corrections to the Casimir energy density and entropy within nearby ideal parallel plates in the vacuum of a massless scalar field. Our framework is the Kerr spacetime in the presence of quintessence and massive gravitons. The high and low temperature regimes are especially analyzed in order to distinguish the main contributions. For instance, in the high temperature regime, we show that the force between the plates is repulsive and grows with both the quintessence and the massive gravitons. Regarding the Casimir entropy, our results are in agreement with the Nernst heat theorem and therefore confirm the third law of thermodynamics in the present scenario.