Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons

Abstract

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.

Casimir effect in an axially symmetric spacetime with unparticles

“…The disturbance of the quantum vacuum can arise also on empty spaces with nontrivial topology [29,30]. This phenomenon can still be associated to a quantum field with arbitrary spin describing baryonic or even exotic matter [31]. The progressive increment in the precision of the Casimir effect measurements show that they tend to be a relevant source of tests for both high energy physics and modified theories of gravity [32][33][34][35].…”