Quasi-local restricted phase space for RN black holes adds pressure and area variables, producing isocharge temperature-entropy transitions and neutral Hawking-Page-like transitions absent in the asymptotic description.
Thermodynamics of Kerr-AdS black holes in the restricted phase space
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Using two scalar-gauge pairs and the off-shell ADT formalism in a modified Einstein-Hilbert theory, the authors derive conserved charges for mass, cosmological constant, and G that yield a consistent extended thermodynamic first law and Smarr formula.
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Black holes at a finite distance: Quasi-local restricted phase space formalism
Quasi-local restricted phase space for RN black holes adds pressure and area variables, producing isocharge temperature-entropy transitions and neutral Hawking-Page-like transitions absent in the asymptotic description.
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Gravitational constant as a conserved charge in black hole thermodynamics
Using two scalar-gauge pairs and the off-shell ADT formalism in a modified Einstein-Hilbert theory, the authors derive conserved charges for mass, cosmological constant, and G that yield a consistent extended thermodynamic first law and Smarr formula.