TY - JOUR

T1 - Comment on "quasinormal modes in Schwarzschild-de Sitter spacetime

T2 - A simple derivation of the level spacing of the frequencies"

AU - Batic, D.

AU - Kelkar, N. G.

AU - Nowakowski, M.

PY - 2011/5/23

Y1 - 2011/5/23

N2 - It is shown here that the extraction of quasinormal modes within the first Born approximation of the scattering amplitude is mathematically not well-founded. Indeed, the constraints on the existence of the scattering amplitude integral lead to inequalities for the imaginary parts of the quasinormal mode frequencies. For instance, in the Schwarzschild case, 0≤ωI<κ (where κ is the surface gravity at the horizon) invalidates the poles deduced from the first Born approximation method, namely, ωn=inκ.

AB - It is shown here that the extraction of quasinormal modes within the first Born approximation of the scattering amplitude is mathematically not well-founded. Indeed, the constraints on the existence of the scattering amplitude integral lead to inequalities for the imaginary parts of the quasinormal mode frequencies. For instance, in the Schwarzschild case, 0≤ωI<κ (where κ is the surface gravity at the horizon) invalidates the poles deduced from the first Born approximation method, namely, ωn=inκ.

UR - http://www.scopus.com/inward/record.url?scp=79960813380&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.83.108501

DO - 10.1103/PhysRevD.83.108501

M3 - Article

AN - SCOPUS:79960813380

SN - 1550-7998

VL - 83

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 10

M1 - 108501

ER -