An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
Black hole chem- istry, the cosmological constant and the embedding ten- sor
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A covariant framework reveals non-closed scalar charges with bulk contributions in ESGB black holes that become closed under shift symmetry and interpret spontaneous scalarization via the Smarr formula.
The authors construct a massive propagating scalar for coupling constants via a defect-based kinetic term that preserves conserved charges and original black hole solutions on constant-coupling configurations.
Maxwell theory with auxiliary fields for the coupling constant breaks symmetries that BFT restores, making the original theory a gauge-fixed version of the extended symmetric theory.
citing papers explorer
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Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics
An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
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Non-closed scalar charge in four-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics
A covariant framework reveals non-closed scalar charges with bulk contributions in ESGB black holes that become closed under shift symmetry and interpret spontaneous scalarization via the Smarr formula.
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Dynamical Completion of Coupling-Charge Thermodynamics
The authors construct a massive propagating scalar for coupling constants via a defect-based kinetic term that preserves conserved charges and original black hole solutions on constant-coupling configurations.
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Extended symmetry of the Maxwell theory with a gauge coupling constant as a conserved charge
Maxwell theory with auxiliary fields for the coupling constant breaks symmetries that BFT restores, making the original theory a gauge-fixed version of the extended symmetric theory.