2003/02/19 by E. Elizalde, A. C. Tort · 12 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Curvature #Entropy (arrow of time) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar curvature #Scalar field #hep-th
paper · pdf · doi:10.1103/physrevd.67.124014
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 67(12) (American Physical Society) · 19 pages, 1 figure
arxiv created 2003/02/19 · openalex publication_date 2003/06/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a massive scalar field with arbitrary coupling in S1\ifmmode×\else\texttimes\fiS3 space, which mimics the thermal expanding Universe, and calculate explicitly all relevant thermodynamical functions in the low- and high-temperature regimes, extending previous analysis of entropy bounds and entropy/energy ratios performed in the conformal case. For high temperatures, new mass-dependent entropy ratios are established which, different from the conformal limit, satisfy Bekenstein's and Verlinde's bounds in the physical region.