Literature DB >> 30853845

High-order asymptotics for the spin-weighted spheroidal equation at large real frequency.

Marc Casals1,2, Adrian C Ottewill2, Niels Warburton2.   

Abstract

The spin-weighted spheroidal eigenvalues and eigenfunctions arise in the separation by variables of spin-field perturbations of Kerr black holes. We derive a large, real-frequency asymptotic expansion of the spin-weighted spheroidal eigenvalues and eigenfunctions to high order. This expansion corrects and extends existing results in the literature and we validate it via a high-precision numerical calculation.

Entities:  

Keywords:  angular eigenvalues; black holes; spin-weighted spheroidal harmonics

Year:  2019        PMID: 30853845      PMCID: PMC6405453          DOI: 10.1098/rspa.2018.0701

Source DB:  PubMed          Journal:  Proc Math Phys Eng Sci        ISSN: 1364-5021            Impact factor:   2.704


  1 in total

1.  Stress-energy tensor of quantized scalar fields in static spherically symmetric spacetimes.

Authors: 
Journal:  Phys Rev D Part Fields       Date:  1995-04-15
  1 in total

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