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2019

A Universal Relation Between Corrections to Entropy and Extremality

Goon, Garrett, Penco, Riccardo

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Perturbative corrections to General Relativity alter the expressions for both the entropy of black holes and their extremality bounds.

We prove a universal relation between the leading corrections to these quantities.
The derivation is purely thermodynamic and the result also applies beyond the realm of gravitational systems.
In scenarios where the correction to the entropy is positive, our result proves that the perturbations decrease the mass of extremal black holes, when holding all other extensive variables fixed in the comparison.

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