The P-V Phase Transition of the FRW Universe

Shi-Bei Kong; Haximjan Abdusattar; Yihao Yin; Hongsheng Zhang; Ya-Peng Hu

doi:10.1140/epjc/s10052-022-10976-9

The P-V Phase Transition of the FRW Universe

General Relativity and Quantum Cosmology 2022-11-28 v4 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory

Authors: Shi-Bei Kong , Haximjan Abdusattar , Yihao Yin , Hongsheng Zhang , Ya-Peng Hu

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Abstract

We define thermodynamic pressure $P$ by work density $W$ as the conjugate quantity of thermodynamic volume $V$ from field equation. We derive the equations of state $P$ = $P(V, T)$ for the Friedmann-Robertson-Walker (FRW) universe in Einstein gravity and a modified gravity respectively. We find that the equation of state from Einstein gravity shows no $P$ - $V$ phase transition, while the equation of state from the modified gravity does, where the critical exponents are the same as those in mean field theory.

Keywords

frw universe thermodynamic pressure equation of state p-v phase transition modified gravity critical exponents

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@article{arxiv.2108.09411,
  title  = {The P-V Phase Transition of the FRW Universe},
  author = {Shi-Bei Kong and Haximjan Abdusattar and Yihao Yin and Hongsheng Zhang and Ya-Peng Hu},
  journal= {arXiv preprint arXiv:2108.09411},
  year   = {2022}
}

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11 pages, major revision, version published in EPJC

The P-V Phase Transition of the FRW Universe

Abstract

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