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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.
2000
发表期刊PHYSICAL REVIEW D
ISSN0556-2821
卷号62期号:6页码:-
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].
部门归属Chinese Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Univ Amsterdam, NL-1012 WX Amsterdam, Netherlands
关键词Quasi-normal Modes Systems Perturbations Completeness Propagation Equations Expansion
学科领域Physics
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收录类别SCI
WOS记录号WOS:000089311300028
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被引频次:29[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12907
专题理论物理所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.
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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):-.
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