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Paper   IPM / Physic / 6946
School of Physics
  Title:   Finite-Temperature Scalar Fields and the Cosmological Constant in An Einstein Universe
1.  M.B. Altaie
2.  M.R. Setare
  Status:   Published
  Journal: Phys. Rev. D
  No.:  50
  Vol.:  67
  Year:  2003
  Pages:   044018-1-6
  Supported by:  IPM
We study the back reaction effect of massless minimally coupled scalar field at finite temperatures in the background of Einstein universe. Substituting for the vacuum expectation value of the components of the energy-momentum tensor on the RHS of the Einstein equation, we deduce a relationship between the radius of the universe and its temperature. This relationship exhibit a maximum temperature, below the Planck scale, at which the system changes its behaviour drastically. The results are compared with the case of a conformally coupled field. An investigation into the values of the cosmological constant exhibit a remarkable difference between the conformally coupled case and the minimally coupled one.

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