Normal-mode excitation from stellar collapse to a black hole: Odd-parity perturbations

1991 ◽  
Vol 44 (4) ◽  
pp. 950-965 ◽  
Author(s):  
Edward Seidel
2014 ◽  
Vol 105 (16) ◽  
pp. 162910 ◽  
Author(s):  
Andrey Kozyrev ◽  
Anatoly Mikhailov ◽  
Sergey Ptashnik ◽  
Peter K. Petrov ◽  
Neil Alford

2009 ◽  
Vol 60 (2) ◽  
pp. 169-173 ◽  
Author(s):  
Sayan K. Chakrabarti ◽  
Pulak Ranjan Giri ◽  
Kumar S. Gupta

2019 ◽  
Vol 67 (5) ◽  
pp. 1800114
Author(s):  
Viacheslav A. Emelyanov
Keyword(s):  

1996 ◽  
Vol 472 (1) ◽  
pp. 308-326 ◽  
Author(s):  
Stuart L. Shapiro
Keyword(s):  

The normal-mode frequencies of a Reissner–Nordström black hole are determined from a phase-amplitude formula, using numerical integration in the complex coordinate plane. The results obtained are numerically very accurate, extending previous higher-order WKB results of Kokkotas and Schutz as well as the continued fraction results of Leaver. The change in the characteristic frequency of each mode as the charge of the black hole increases is also discussed.


The oscillations of a Schwarzschild black hole, describing the late time ringing expected after, for example, a gravitational collapse, are discussed in terms of the characteristic normal-mode frequencies. A condition determining these frequencies is derived within the phase-amplitude method. The numerical results obtained using this condition are of very high accuracy, and the phase-amplitude analysis seems to provide a powerful alternative to the previous investigations of the normal-mode problem.


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