标题： 从引力坍缩构建黑洞熵 显示英文标题

标题： Constructing black hole entropy from gravitational collapse

摘要： 基于自由引力场的引力熵的最新提议，我们研究了在半四维1+1+2协变形式框架下，通过引力坍缩形成的黑洞的热力学性质。 在Oppenheimer-Snyder-Datt坍缩的最简单情况下，我们证明了坍缩物体外部的引力熵的变化与物体自身表面积的变化有关，即使在视界形成之前也是如此。 因此，我们能够将黑洞最终状态的Bekenstein-Hawking熵与坍缩物体外部真空引力熵的变化联系起来。 显示英文摘要

摘要： Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant formalism. In the simplest case of an Oppenheimer-Snyder-Datt collapse we prove that the change in gravitational entropy outside a collapsing body is related to the variation of the surface area of the body itself, even before the formation of horizons. As a result, we are able to relate the Bekenstein-Hawking entropy of the black hole endstate to the variation of the vacuum gravitational entropy outside the collapsing body.