自引力辐射体系的熵与引力坍缩

本文利用李立新和刘辽导出的黑洞视界附近的辐射态方程，计算了约束在一个球形盒子中的目引力辐射体系的墙（不含中心黑洞和含有中心黑洞两种情况）．与Sorkin等人的计算比较，本文的结果不会出现发散困难，而且体系的总摘（包括中心黑洞的墙）的上阳正好等于坍缩后形成的同质量的黑洞嫡．作者认为，自引力辐射体系坍绩的合理模式是先形成中心黑洞，然后中心黑洞逐渐长大直至整个体系全部坍缩为黑洞．在坍缩过程中，任一中间态的媳总是比末态的黑洞墙小，到坍缩过程结束总熵才等于对应的黑洞摘．这一结果为黑洞滴的起源提供了一个合理的解释．

Entropy of Self-Gravitating Radiation Systems and Gravitational Collapse

The entropy of a self-gravitating radiation systep confined to a spherical box (including two cases: with a central black hole and without a central black hole) is calculated by using the equation of state of radiation near a black-hole horizon, which was derived by Li and Liu. Compared with the result given by Sorkin et al., there is no divergence problem with the result of this paper, and the upper bound on the total entropy including the entropy of the central black hole is exactly equal to the entropy of the black hole with the same mass. A reasonable mode of the gravitational collapse of a self gravitating radiation system should be the process that a central black hole forms at first, then the black hole becomes greater and greater till all radiation matter collapses into the black hole. In the collapsing process, the entropy of any intermediate state is always less than the entropy of the black hole of the final state. In this way, an explanation for the origin of black-hole entropy is provided.