The Bousso entropy bound in selfgravitating gas of massless particles

TL;DR

This paper examines the Bousso entropy bound in a static, spherically symmetric spacetime filled with a massless particle gas, identifying conditions under which the bound can be violated, especially near Planck-scale regions.

Contribution

It provides a detailed analysis of the Bousso bound's validity in self-gravitating massless gases, highlighting the role of temperature and polarization states in potential violations.

Findings

Violations are confined within regions smaller than a Planck radius.

Central temperature must exceed the Planck temperature for violations.

Small polarization states favor potential violations.

Abstract

The Bousso entropy bound is investigated in a static spherically symmetric spacetime filled with an ideal gas of massless bosons or fermions. Especially lightsheets generated by spheres are considered. Statistical description of the gas is given. Conditions under which the Bousso bound can be violated are discussed and it is shown that a possible violating region cannot be arbitrarily large and it is contained inside a sphere of unit Planck radius if number of independent polarization states $g_s$ is small enough. It is also shown that central temperature must exceed the Planck temperature to get a violation of the Bousso bound for $g_s$ not too large.