Late time behavior of the maximal slicing of the Schwarzschild black hole
Late time behavior of the maximal slicing of the Schwarzschild black hole
复制标题
史瓦西黑洞最大切片的晚期行为
DOI：
10.1103/physrevd.57.4728
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发表时间：
1997
影响因子：
5
通讯作者：
N. Murchadha
中科院分区：
文献类型：
--
作者：
R. Beig;N. Murchadha;N. Murchadha
扩展史瓦西时空的时间对称柯西切片可以通过极大曲面演化为时空的rg 3 m/2$区域的叶理，要求时间在流形的空间两端同样快。本文研究了当无穷远真时任意大时，这些切片在极限中的行为。结果表明，中心递减指数衰减，并给出了指数和指前因子的解析表达式。
A time-symmetric Cauchy slice of the extended Schwarzschild spacetime can evolve into a foliation of the $rg3m/2$ region of spacetime by maximal surfaces with the requirement that time run equally fast at both spatial ends of the manifold. This paper studies the behavior of these slices in the limit as proper time at infinity becomes arbitrarily large. It is shown that the central lapse decays exponentially and an analytic expression is given both for the exponent and for the preexponential factor.