论文标题
准本地能量和Oppenheimer-Snyder崩溃
Quasi-local energy and Oppenheimer-Snyder collapse
论文作者
论文摘要
我们考虑了Oppenheimer-Snyder尘埃云的重力崩溃的情况，其空间恒定密度。鉴于恒星中的闭合两面表面，研究了三个版本的准局部能量。我们表明，在崩溃期间，（i）表面的Geroch能量无阳性，并增加到零； （ii）表面的鹰能在单调上增加，并接近了初始表面的海沃德能量； （iii）表面的Hayward能量是保守的，并且保持阳性。这些结果对表面的拓扑和对称性没有限制。
We consider a scenario of the gravitational collapse of the Oppenheimer-Snyder dust cloud with spatially constant matter density. Given a closed two-surface within the star, three versions of the quasi-local energy are investigated. We show that, during the collapse, (i) the Geroch energy of the surface is nonpositive and increases to zero; (ii) the Hawking energy of the surface is monotonically increasing and approaches to the Hayward energy of the initial surface; and (iii) the Hayward energy of the surface is conserved and remains positive. These results have no restrictions on the topology and the symmetry of the surface.
