Phys. Rev. D 65, 044028 (2002) [7 pages]Back reaction of quantum fields in an Einstein universeReceived 31 May 2001; published 28 January 2002 I study the back-reaction effect of the finite-temperature massless scalar field and the photon field in the background of the static Einstein universe. In each case I find a relation between the temperature of the universe and its radius. This relation exhibits a minimum radius below which no self-consistent solution for the Einstein field equation can be found. A maximum temperature marks the transition from the vacuum dominated era to the radiation dominated era. An interpretation of this behavior in terms of Bose-Einstein condensation in the case of the scalar field is given. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.044028
DOI:
10.1103/PhysRevD.65.044028
PACS:
04.62.+v
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