Nonrelativistic limit of Bose-Einstein condensation in a static spacetime

Abstract

Nonrelativistic limit of thermodynamics of noninteracting Bose field in curved background is investigated via a post-Newtonian approach. In large but finite c limit matter becomes nonrelativistic whereas the geometry stays unchanged. Mellin trans form and heat kernel techniques lead to asymptotics of thermodynamic variables that are used to analyze the gravitational effects on Bose Einstein Condensation in static background. For finite volume, particle density-temperature relation is obtained which include gravitational corrections to the classical expression. Boundary effects due to gravitation are also examined and the results are found to be reduced to usual Minkowski space ones in the absence of gravitation in the thermodynamic limit.