The Red-Shift Effect and Radiation Decay on Black Hole Spacetimes
The Red-Shift Effect and Radiation Decay on Black Hole Spacetimes
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DOI：
10.1002/cpa.20281
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发表时间：
2009-07-01
影响因子：
3
通讯作者：
Rodnianski, Igor
中科院分区：
文献类型：
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作者：
Dafermos, Mihalis;Rodnianski, Igor
我们考虑参数 M > 0 的（最大扩展）史瓦西时空上线性波动方程矩形（g）phi = 0 的解，从完整柯西曲面 Sigma 上规定的足够规则的初始数据演化而来，其中假设数据仅在空间无穷远处适当衰减。 （特别是，phi 的支持可能包含分叉事件视界。）结果表明，通过黑洞外部区域的任意非时间子集 S 的解（通过渐近匹配静态杀伤场的严格类时 (T) 波浪号上）(S) 满足边界 F-phi((T) 波浪号上)(S)
We consider solutions to the linear wave equation rectangle(g)phi = 0 on a (maximally extended) Schwarzschild spacetime with parameter M > 0, evolving from sufficiently regular initial data prescribed on a complete Cauchy surface Sigma, where the data are assumed only to decay suitably at spatial infinity. (In particular, the support of phi may contain the bifurcate event horizon.) It is shown that the energy flux F-phi((T) over tilde)(S) of the solution (as measured by a strictly timelike (T) over tilde that asymptotically matches the static Killing field) through arbitrary achronal subsets S of the black hole exterior region satisfies the bound F-phi((T) over tilde)(S)