BLACK-HOLE NORMAL-MODES - PHASE-INTEGRAL TREATMENT

被引：39
作者：
FROMAN, N
FROMAN, PO
ANDERSSON, N
HOKBACK, A
机构：
[1] Department of Theoretical Physics, University of Uppsala, S-752 38 Uppsala
来源：
PHYSICAL REVIEW D | 1992年 / 45卷 / 08期
关键词：
D O I：
10.1103/PhysRevD.45.2609
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A simple two-turning-point phase-integral formula, valid in an arbitrary order of approximation, for the determination of the normal-mode frequencies of a Schwarzschild black hole is derived rigorously. Numerical results obtained from this formula show that the phase-integral method in general yields the normal-mode frequencies more accurately than previous approximate analytical treatments.
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收藏
页码：2609 / 2616
页数：8
相关论文
共 22 条
[1]   REGGE-POLE POSITIONS AND RESIDUES CALCULATED FROM PHASE-INTEGRAL FORMULAS [J].
AMAHA, A ;
THYLWE, KE .
PHYSICAL REVIEW A, 1991, 44 (07) :4203-4209
[2]  
ANDERSSON N, 1991, ACTA U UPSALIENSIS, V341
[3]   QUASI-NORMAL MODES OF SCHWARZSCHILD BLACK-HOLE [J].
CHANDRASEKHAR, S ;
DETWEILER, S .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1975, 344 (1639) :441-452
[4]   EQUATIONS GOVERNING PERTURBATIONS OF SCHWARZSCHILD BLACK-HOLE [J].
CHANDRASEKHAR, S .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1975, 343 (1634) :289-298
[5]  
Chandrasekhar S., 1992, MATH THEORY BLACK HO
[6]   THE STOKES CONSTANTS FOR A CLUSTER OF TRANSITION POINTS [J].
FROMAN, N ;
FROMAN, PO ;
LUNDBORG, B .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1988, 104 :153-179
[7]   MODIFICATIONS OF PHASE INTEGRAL APPROXIMATIONS OF ARBITRARY ORDER [J].
FROMAN, N ;
FROMAN, PO .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1974, B 20 (01) :121-132
[8]   DIRECT METHOD FOR MODIFYING CERTAIN PHASE-INTEGRAL APPROXIMATIONS OF ARBITRARY ORDER [J].
FROMAN, N ;
FROMAN, PO .
ANNALS OF PHYSICS, 1974, 83 (01) :103-107
[9]   TRANSMISSION THROUGH A REAL POTENTIAL BARRIER TREATED BY MEANS OF CERTAIN PHASE-INTEGRAL APPROXIMATIONS [J].
FROMAN, N ;
FROMAN, PO .
NUCLEAR PHYSICS A, 1970, A147 (03) :606-&
[10]   NEW 2-TURNING-POINT PHASE-INTEGRAL FORMULA FOR THE RESIDUE OF THE S-MATRIX AT A REGGE-POLE [J].
FROMAN, N ;
FROMAN, PO .
PHYSICAL REVIEW A, 1991, 43 (07) :3563-3566
123