Analytic treatment of black-hole gravitational waves at the algebraically special frequency

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	Analytic treatment of black-hole gravitational waves at the algebraically special frequency
	van den Brink, AM; van den Brink, AM , SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA.
刊名	PHYSICAL REVIEW D
	2000
卷号	62 期号:6 页码:-
关键词	Quasi-normal Modes Systems Perturbations Completeness Propagation Equations Expansion
ISSN号	0556-2821
英文摘要	We study the Regge-Wheeler (RWE) and Zerilli equations (ZE) at the "algebraically special frequency" Omega, where these equations admit an exact solution (elaborated here), generating the supersymmetry (SUSY) relationship between them. The physical significance of the SUSY generator and of the solutions at Omega in general is elucidated as follows. The RWE has no (quasinormal or total-transmission) modes at all; however, Omega is nonetheless "special" in that (a) for the outgoing wave into the horizon one has a "miraculous" cancellation of a divergence expected due to the exponential potential tail, and (b) the branch-cut discontinuity at omega = Omega vanishes in the outgoing wave to infinity. Moreover, (a) and (b) are related. For the ZE, its only mode is the-inverse-SUSY generator, which is at the same time a quasinormal mode and a total-transmission mode propagating to infinity. The subtlety of these findings (of general relevance for future study of the equations on or near the negative imaginary omega-axis) may help explain why the situation has sometimes been controversial. For finite black-hole rotation, the algebraically special modes are shown to be totally transmitting, and the implied singular nature of the Schwarzschild limit is clarified. The analysis draws on a recent detailed investigation of SUSY in open systems [math-ph/9909030].
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000089311300028
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/12907]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	van den Brink, AM , SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA.
推荐引用方式 GB/T 7714	van den Brink, AM,van den Brink, AM , SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA.. Analytic treatment of black-hole gravitational waves at the algebraically special frequency[J]. PHYSICAL REVIEW D,2000,62(6):-.
APA	van den Brink, AM,&van den Brink, AM , SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA..(2000).Analytic treatment of black-hole gravitational waves at the algebraically special frequency.PHYSICAL REVIEW D,62(6),-.
MLA	van den Brink, AM,et al."Analytic treatment of black-hole gravitational waves at the algebraically special frequency".PHYSICAL REVIEW D 62.6(2000):-.