Josephson junction formed in the wormhole space time from the analysis for the critical temperature of Bose-Einstein condensate

Abstract

In this study, considering some gas in the Morris-Thorne traversable wormhole space time, we analyze the critical temperature of the Bose-Einstein condensate in the vicinity of its throat. As a result, we obtain the result that it is zero. Then, from this result, we point out that an analogous state to the Josephson junction is always formed at any temperatures in the vicinity of its throat. This would be interesting as a gravitational phenomenology.