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.
First law of black hole thermodynamics and Smarr formula with a cosmological constant,
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Presents the first analytic singly rotating near-horizon solution in 5D Einstein-Gauss-Bonnet gravity with finite curvature invariants for limited rotation.
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.
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.
Adapting Barnich-Compère conserved charges, the first law requires unvarying components for both the Killing vector and AdS background (true for E's ξ but not F's β), while V_C enters the β-Smarr relation due to simplifications from the principal conformal Killing-Yano tensor.
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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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An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity
Presents the first analytic singly rotating near-horizon solution in 5D Einstein-Gauss-Bonnet gravity with finite curvature invariants for limited rotation.
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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.
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The Role of the Volume in Black Hole Thermodynamics
Adapting Barnich-Compère conserved charges, the first law requires unvarying components for both the Killing vector and AdS background (true for E's ξ but not F's β), while V_C enters the β-Smarr relation due to simplifications from the principal conformal Killing-Yano tensor.