2003/01/05 by M. B. Altaie, M. R. Setare · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter universe #Einstein #Einstein field equations #Mathematical physics #Metric expansion of space #Physics #Planck #Quantum mechanics #Relativity and Gravitational Theory #Scalar field #Scale factor (cosmology) #Theoretical physics #Universe #gr-qc
paper · pdf · doi:10.1103/physrevd.67.044018
published as Phys.Rev. D67 (2003) 044018 · 7 pages, 2 figures
arxiv created 2003/01/05 · openalex publication_date 2003/02/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the back-reaction effect of a massless minimally coupled scalar field at finite temperatures in the background of an Einstein universe. Substituting for the vacuum expectation value of the components of the energy-momentum tensor on the right hand side of the Einstein equation, we deduce a relationship between the radius of the universe and its temperature. This relationship exhibits a maximum temperature, below the Planck scale, at which the system changes its behavior drastically. The results are compared with the case of a conformally coupled field. An investigation into the values of the cosmological constant exhibits a remarkable difference between the conformally coupled case and the minimally coupled one.