The finite-temperature corrections to the vacuum energy density of scalar, neutrino, and photon fields in an Einstein universe are calculated by using the statistical-mode-sum technique with the aid of the Poisson summation formula. The theory of relativistic time-temperature Green's functions in static space-time is also considered and used to calculate the temperature correction to the neutrino-field vacuum energy density. Asymptotic limits of low and high temperature are discussed for each case.

• Received 18 November 1977

DOI:https://doi.org/10.1103/PhysRevD.18.3557