Late-time Kerr tails: generic and non-generic initial data sets, "up" modes, and superposition

Details Late-time Kerr tails: generic and non-generic initial data sets, "up" modes, and superposition Late-time Kerr tails: generic and non-generic initial data sets, "up" modes, and superposition

Publishing date

2010-01-04

URL

arxiv.org/abs/1001.0541v2

Journals

Class.Quant.Grav.28:025012,2011

Science

Astronomy and Astrophysics

Field

Astrophysics

SubField

General Relativity and Quantum Cosmology

Additional info

12 pages, 13 figures, 4 tables. Substantially revised manuscript

Type

Scientific paper

Digital Object Identifier

10.1088/0264-9381/28/2/025012

Abstract

Three interrelated questions concerning Kerr spacetime late-time scalar-field tails are considered numerically, specifically the evolutions of generic and non-generic initial data sets, the excitation of "up" modes, and the resolution of an apparent paradox related to the superposition principle. We propose to generalize the Barack-Ori formula for the decay rate of any tail multipole given a generic initial data set, to the contribution of any initial multipole mode. Our proposal leads to a much simpler expression for the late-time power law index. Specifically, we propose that the late-time decay rate of the $Y_{\ell m}$ spherical harmonic multipole moment because of an initial $Y_{\ell' m}$ multipole is independent of the azimuthal number $m$, and is given by $t^{-n}$, where $n=\ell'+\ell+1$ for $\ell<\ell'$ and $n=\ell'+\ell+3$ for $\ell\ge\ell'$. We also show explicitly that the angular symmetry group of a multipole does not determine its late-time decay rate.

Affiliated with

Also associated with

No associations

Rating

Late-time Kerr tails: generic and non-generic initial data sets, "up" modes, and superposition 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 Late-time Kerr tails: generic and non-generic initial data sets, "up" modes, and superposition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Late-time Kerr tails: generic and non-generic initial data sets, "up" modes, and superposition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-7504