The Bousso entropy bound in selfgravitating gas of massless particles

Details The Bousso entropy bound in selfgravitating gas of massless particles The Bousso entropy bound in selfgravitating gas of massless particles

2007-02-20

arxiv.org/abs/gr-qc/0702111v2

Gen.Rel.Grav.40:775-789,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 4 figures, a paragraph added, version published in Gen. Rel. Grav

Scientific paper

10.1007/s10714-007-0529-9

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.

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