Quadratic-gravity terms are claimed to shift the thermodynamic phase structure of the FLRW apparent horizon, but the printed critical-radius formula does not follow from the paper's own equation of state.
The Hawking-Page-like Phase Transition from FRW Spacetime to McVittie Black Hole
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abstract
In this paper, we investigate the thermodynamics especially the Hawking-Page-like phase transition of the McVittie space-time. We formulate the first law of thermodynamics for the McVittie black hole, and find that the work density $W$ of the perfect fluid plays the role of the thermodynamic pressure, i.e. $P$:=$-W$. We also construct the thermodynamic equation of state for the McVittie black hole. Most importantly, by analysing the Gibbs free energy, we find that the Hawking-Page-like phase transition from FRW spacetime to McVittie black hole is possible in the case $P>0$.
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Thermodynamics of FLRW universe in Quadratic Gravity
Quadratic-gravity terms are claimed to shift the thermodynamic phase structure of the FLRW apparent horizon, but the printed critical-radius formula does not follow from the paper's own equation of state.