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A geometric--analytic proof of the reverse isoperimetric inequality in Einstein gravity
differential-geometrygeneral-relativity-and-quantum-cosmologyhigh-energy-physics-theorymathematical-physics
We develop a geometric--analytic proof of the reverse isoperimetric inequality for compact AdS black hole horizons in Einstein gravity. At fixed thermodynamic volume, a York slice/Jacobi variation of the gravitational action shows that the spherical Schwarzschild--AdS solution is a strict local entr
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