An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
Black hole entropy is the Noether charge
8 Pith papers cite this work. Polarity classification is still indexing.
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Quasi-local dynamical horizons admit a first law for finite, far-from-equilibrium processes and a quantitative second law tying area growth to energy fluxes, so black-hole entropy is the area of marginally trapped surfaces.
The paper derives a generalized first law for thin-shell wormholes showing entropy conservation for isolated transparent shells and flux-dependent entropy change when bulk matter crosses the throat.
A covariant virtual work and d'Alembert-Lagrange formulation is introduced for general relativity, recovering the Einstein equations from vanishing virtual work and the cosmological constant from an isoperimetric admissibility constraint.
Generalized black-hole entropies are realized via Misner–Sharp mass and Wald entropy in scalar-tensor gravity, yielding distinct Einstein-frame scalar potentials with cosmological implications.
Bound states of a massive scalar field around topological stars form strictly normal modes, producing a hydrogen-like spectrum when the Compton wavelength exceeds the star size and localized states otherwise.
Background subtraction for black hole thermodynamics is valid and equivalent to Iyer-Wald in matter-coupled gravity theories, with smooth performance in examples but subtleties for certain matter fields.
Solving the Fokker-Planck equation shows RN-AdS black hole phase transitions synchronize with a peak in entropy production rate, driven by maximum thermodynamic dissipation.
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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Thermodynamics of dynamical black holes beyond perturbation theory
Quasi-local dynamical horizons admit a first law for finite, far-from-equilibrium processes and a quantitative second law tying area growth to energy fluxes, so black-hole entropy is the area of marginally trapped surfaces.
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Thermodynamics of thin-shell wormholes
The paper derives a generalized first law for thin-shell wormholes showing entropy conservation for isolated transparent shells and flux-dependent entropy change when bulk matter crosses the throat.
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Covariant virtual work and the d'Alembert-Lagrange formulation of general relativity
A covariant virtual work and d'Alembert-Lagrange formulation is introduced for general relativity, recovering the Einstein equations from vanishing virtual work and the cosmological constant from an isoperimetric admissibility constraint.
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Scalar-Tensor Gravity as a Probe of Generalized Black Hole Entropy
Generalized black-hole entropies are realized via Misner–Sharp mass and Wald entropy in scalar-tensor gravity, yielding distinct Einstein-frame scalar potentials with cosmological implications.
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Gravitational Atoms from Topological Stars
Bound states of a massive scalar field around topological stars form strictly normal modes, producing a hydrogen-like spectrum when the Compton wavelength exceeds the star size and localized states otherwise.
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Validity of the Background Subtraction Method for Black Hole Thermodynamics in Matter-Coupled Gravity Theories
Background subtraction for black hole thermodynamics is valid and equivalent to Iyer-Wald in matter-coupled gravity theories, with smooth performance in examples but subtleties for certain matter fields.
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Probabilistic Evolution of Black Hole Thermodynamic States via Fokker-Planck Equation
Solving the Fokker-Planck equation shows RN-AdS black hole phase transitions synchronize with a peak in entropy production rate, driven by maximum thermodynamic dissipation.