Entropy bounds and nonlinear electrodynamics
arXiv:1911.08467 · doi:10.1103/PhysRevD.100.125008
Abstract
Bekenstein's inequality sets a bound on the entropy of a charged macroscopic body. Such a bound is understood as a universal relation between physical quantities and fundamental constants of nature that should be valid for any physical system. We reanalyze the steps that lead to this entropy bound considering a charged object in conformity to Born-Infeld electrodynamics and show that the bound depends of the underlying theory used to describe the physical system. Our result shows that the nonlinear contribution to the electrostatic self-energy causes a raise in the entropy bound. As an intermediate step to obtain this result, we exhibit a general way to calculate the form of the electric field for a given nonlinear electrodynamics in Schwarzschild spacetime.
12 pages, 4 figures, accepted for publication in Phys. Rev. D
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- On the radiation field of a linearly accelerated charged particle in Born-Infeld theory