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1. Computing the quasinormal modes and eigenfunctions for the Teukolsky equation using horizon penetrating, hyperboloidally compactified coordinates

Author

Ripley, Justin, Ripley, Justin [0000-0001-7192-0021], and Apollo - University of Cambridge Repository

Subjects
Paper, General Relativity and Quantum Cosmology, Physics and Astronomy (miscellaneous), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematics::Spectral Theory, hyperboloidal compactification, quasinormal eigenfunctions, black holes, quasinormal modes
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., Comment: Updated to match journal version

Published
2022