A new variation scheme using dS multipliers on horizon field equations yields the first law of black hole thermodynamics for general unconstrained changes in M, J, Q.
Charged rotating black hole in three spacetime dimensions.Physical Review D, 61(10):104013
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A Constraint-Free Formulation of Black Hole Thermodynamics from the Field Equations
A new variation scheme using dS multipliers on horizon field equations yields the first law of black hole thermodynamics for general unconstrained changes in M, J, Q.