Sijie Gao and José P. S. Lemos JHEP04(2004)017 doi:10.1088/1126-6708/2004/04/017
Sijie Gao1 and José P. S. Lemos1
Show affiliationsWe study the covariant entropy bound in the context of gravitational collapse. First, we discuss critically the heuristic arguments advanced by Bousso. Then we solve the problem through an exact model: a Tolman-Bondi dust shell collapsing into a Schwarzschild black hole. After the collapse, a new black hole with a larger mass is formed. The horizon, L, of the old black hole then terminates at the singularity. We show that the entropy crossing L does not exceed a quarter of the area of the old horizon. Therefore, the covariant entropy bound is satisfied in this process.
Issue 04 (April 2004)
Received 16 March 2004, accepted for publication 7 April 2004
Published 13 April 2004
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