Improved Upper Bound to the Entropy of a Charged System

Details Improved Upper Bound to the Entropy of a Charged System Improved Upper Bound to the Entropy of a Charged System

1999-03-02

arxiv.org/abs/gr-qc/9903011v2

Phys.Rev. D61 (2000) 024023

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

10.1103/PhysRevD.61.024023

Recently, we derived an improved universal upper bound to the entropy of a charged system $S \leq \pi (2E b-q^2)/ \hbar$. There was, however, some uncertainty in the value of the numerical factor which multiplies the $q^2$ term. In this paper we remove this uncertainty; we rederive this upper bound from an application of the generalized second law of thermodynamics to a gedanken experiment in which an entropy-bearing charged system falls into a Schwarzschild black hole. A crucial step in the analysis is the inclusion of the effect of the spacetime curvature on the electrostatic self-interaction of the charged system.

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