Note on the quasinormal modes with a large imaginary component

Details Note on the quasinormal modes with a large imaginary component Note on the quasinormal modes with a large imaginary component

Mar 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phrvd..59f3002p&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 59, Issue 6, 15 March 1999, id. 063002

Statistics

Computation

1

Black Holes, Post-Newtonian Approximation, Perturbation Theory, Related Approximations, Relativity And Gravitation

Scientific paper

We make two remarks about the calculation of the large imaginary component of the quasinormal modes associated with a Schwarzschild black hole. First, we display an analytical approximation for the radial component of the Regge-Wheeler-Zerilli equation that yields, to the lowest order, the main asymptotic value for the imaginary part of these quasinormal modes. The link between the boundary conditions and the value adopted by the quasinormal frequency is transparent within this approximation. In a second part, we refer to the strategy followed by Nöllert in his search of these modes. The quasinormal modes appear as the frequencies that avoid the divergence of a continued fraction. The terms from n=N to infinity, in this series, are replaced for what is called the remainder RN(ω). In searching these frequencies, Nöllert assumed, without justification, an asymptotic approximation for RN(ω). This step is of some relevance since it opened to him the possibility to compute, numerically, frequencies with a higher imaginary component than previous attempts. Here, we display a simple argument that justifies this procedure. We also show that our approach gives a closed form for RN. The approximation displayed in this note for the computation of the quasinormal modes is straightforward. From our point of view, it reinforces the confidence on the clever numerical approaches introduced lately in this research area.

Affiliated with

Also associated with

No associations

Rating

Note on the quasinormal modes with a large imaginary component does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Note on the quasinormal modes with a large imaginary component, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Note on the quasinormal modes with a large imaginary component will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-846456