TY - JOUR
T1 - Second order perturbative calculation of quasinormal modes of Schwarzschild black holes
AU - Kao, Hsien Chung
PY - 2007/6/8
Y1 - 2007/6/8
N2 - We analytically calculate to second order the correction to the asymptotic form of quasinormal frequencies of four dimensional Schwarzschild black holes based on the monodromy analysis proposed by Motl and Neitzke. According to our calculation, all the second order corrections are purely imaginary. For gravitational axial perturbation, the numerical values of the imaginary part of the correction are in good agreement with the available numerical results. However, our result for the real part shows sizeable discrepancy with the numerical one for large angular momentum (l=6). This might indicate certain limitations in the numerical methods used in the literature and more study is needed to settle this issue.
AB - We analytically calculate to second order the correction to the asymptotic form of quasinormal frequencies of four dimensional Schwarzschild black holes based on the monodromy analysis proposed by Motl and Neitzke. According to our calculation, all the second order corrections are purely imaginary. For gravitational axial perturbation, the numerical values of the imaginary part of the correction are in good agreement with the available numerical results. However, our result for the real part shows sizeable discrepancy with the numerical one for large angular momentum (l=6). This might indicate certain limitations in the numerical methods used in the literature and more study is needed to settle this issue.
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U2 - 10.1103/PhysRevD.75.124008
DO - 10.1103/PhysRevD.75.124008
M3 - Article
AN - SCOPUS:34347368497
SN - 1550-7998
VL - 75
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 12
M1 - 124008
ER -