Hot Casimir Wormholes

Abstract

In this paper, we have for the first time considered the consequences of thermal fluctuations to the Casimir effect on a traversable wormhole. This was done by using finite temperature generalization of the Casimir effect as a source of a hot traversable wormhole. Thus, we have considered a more physical scenario, where the effects of thermal fluctuations are also considered as a source of a traversable wormhole. To obtain a dependence on such a thermal Casimir effect, consider the plates positioned at a distance either parametrically fixed or radially varying. In both cases, the temperature effects are investigated. We demonstrate that thermal fluctuations modify the throat of the wormhole. Such results have been obtained in both regimes, i.e. high temperature and low temperature. We explicitly investigate the effect of such finite temperature effects on the size of a wormhole.