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arXiv · hep-th/0302155

Entropy bounds for massive scalar field in positive curvature space

E. Elizalde·A. C. Tort
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Abstract

We consider a massive scalar field with arbitrary coupling in $\mathbf{S}^{1}\times \mathbf{S}^{3}$ 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, differently to the conformal limit, fulfil Bekenstein's and Verlinde's bounds in the physical region.

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E. Elizalde, A. C. Tort. 2003-02-19. Entropy bounds for massive scalar field in positive curvature space. https://doi.org/10.1103/physrevd.67.124014

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