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JHEP04(2004)017 doi: 10.1088/1126-6708/2004/04/017
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Abstract. We 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.
Key words: Space-Time Symmetries; Black Holes
Received 16 March 2004, accepted for publication 7 April 2004 |
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