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The P-V Phase Transition of the FRW Universe

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arxiv 2108.09411 v4 pith:LH5HVO4Z submitted 2021-08-21 gr-qc astro-ph.COhep-th

Shi-Bei Kong , Haximjan Abdusattar , Yihao Yin , Hongsheng Zhang , Ya-Peng Hu This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords gravityequationstateeinsteinfieldmodifiedphasethermodynamic
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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.

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  1. Phase Transition and Critical Phenomena of Charged Einstein-Maxwell-Scalar Black Holes

    gr-qc 2025-05 conditional novelty 5.0 of 10

    Charged EMs black holes show van der Waals-type phase transitions with mean-field critical exponents, and the phase transition disappears above a threshold scalar charge.

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