Do Black Holes With Generalized Entropy Violate Bekenstein Bound?

Abstract

In general yes, but also not quite. It is known that if the Bekenstein-Hawking entropy is replaced by some kind of generalized entropy, then the Bekenstein bound may be grossly violated. In this work, we show that this undesired violation can be avoided if we employ the equivalence between generalized entropy and varying-$G$ gravity (GEVAG). In this approach, modifying entropy necessarily also modifies gravity (as one should expect if gravity is indeed inherently tied to thermodynamics), which leads to an effective gravitational "constant" $G_{\text{eff}}$ that is area-dependent, and a thermodynamic energy that is distinct from the ADM mass. We show that a relaxed Bekenstein bound of the form $S⩽CRE$ is always satisfied, albeit the coefficient $C$ is no longer $2\pi$.

Version published by PLB

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Cited by in corpus (2)

• GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce
• Cosmology with Logarithmic Corrected Horizon Entropy According to the Generalized Entropy and Variable-G Correspondence