Computing the quasinormal modes and eigenfunctions for the Teukolsky equation using horizon penetrating, hyperboloidally compactified coordinates
Published version
Peer-reviewed
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Repository DOI
Change log
Authors
Ripley, Justin https://orcid.org/0000-0001-7192-0021
Abstract
We study the quasinormal mode eigenvalues and eigenfunctions for the Teukolsky equation in a horizon penetrating, hyperboloidally compactified (HPHC) coordinate system. Following earlier work by Zengino\u{g}lu (arXiv:1102.2451), we show that the quasinormal eigenfunctions for the Teukolsky equation are regular from the black hole horizon to future null infinity in these coordinates. We then present several example quasinormal eigenfunction solutions, and study some of their properties in the near-extremal Kerr limit.
Description
Keywords
Paper, black holes, quasinormal modes, hyperboloidal compactification, quasinormal eigenfunctions
Journal Title
Class. Quantum Grav.
Conference Name
Journal ISSN
0264-9381
1361-6382
1361-6382
Volume Title
39
Publisher
IOP Publishing
Publisher DOI
Sponsorship
Science and Technology Facilities Council (ST/V005669/1)