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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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.
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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.
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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.