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.
Conserved quantities and virasoro algebra in new massive gravity.Journal of High Energy Physics, 2013(5):1–27
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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.