Entropy bound of a charged object and electrostatic self-energy in black holes

TL;DR

This paper derives a general expression for the electrostatic self-energy in static, spherically symmetric black holes and shows that the entropy bound of a charged object is universal, independent of the black hole type.

Contribution

It introduces a general formula for electrostatic self-energy in static black holes and demonstrates the universality of the entropy bound for charged objects.

Findings

Entropy bound is independent of black hole specifics.

Derived a general electrostatic self-energy expression.

Confirmed the universality of the entropy bound.

Abstract

Without pretending to any rigour, we find a general expression of the electrostatic self-energy in static black holes with spherical symmetry. We determine the entropy bound of a charged object by assuming the existence of thermodynamics for these black holes. By combining these two results, we show that the entropy bound does not depend on the considered black hole.