Quasi-Normal Modes of Stars and Black Holes

Perturbations of stars and black holes have been one of the main topics of relativistic astrophysics for the last few decades. They are of particular importance today, because of their relevance to gravitational wave astronomy. In this review we present the theory of quasi-normal modes of compact ob...

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Main Authors: Kokkotas Kostas, Schmidt Bernd
Format: Article
Language:English
Published: SpringerOpen 1999-01-01
Series:Living Reviews in Relativity
Subjects:
Online Access:http://www.livingreviews.org/lrr-1999-2
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author Kokkotas Kostas
Schmidt Bernd
author_facet Kokkotas Kostas
Schmidt Bernd
author_sort Kokkotas Kostas
collection DOAJ
description Perturbations of stars and black holes have been one of the main topics of relativistic astrophysics for the last few decades. They are of particular importance today, because of their relevance to gravitational wave astronomy. In this review we present the theory of quasi-normal modes of compact objects from both the mathematical and astrophysical points of view. The discussion includes perturbations of black holes (Schwarzschild, Reissner-Nordström, Kerr and Kerr-Newman) and relativistic stars (non-rotating and slowly-rotating). The properties of the various families of quasi-normal modes are described, and numerical techniques for calculating quasi-normal modes reviewed. The successes, as well as the limits, of perturbation theory are presented, and its role in the emerging era of numerical relativity and supercomputers is discussed.
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spelling doaj.art-0b048b8af2e44f769a25be803bf87c8a2022-12-21T19:30:35ZengSpringerOpenLiving Reviews in Relativity1433-83511999-01-0122Quasi-Normal Modes of Stars and Black HolesKokkotas KostasSchmidt BerndPerturbations of stars and black holes have been one of the main topics of relativistic astrophysics for the last few decades. They are of particular importance today, because of their relevance to gravitational wave astronomy. In this review we present the theory of quasi-normal modes of compact objects from both the mathematical and astrophysical points of view. The discussion includes perturbations of black holes (Schwarzschild, Reissner-Nordström, Kerr and Kerr-Newman) and relativistic stars (non-rotating and slowly-rotating). The properties of the various families of quasi-normal modes are described, and numerical techniques for calculating quasi-normal modes reviewed. The successes, as well as the limits, of perturbation theory are presented, and its role in the emerging era of numerical relativity and supercomputers is discussed.http://www.livingreviews.org/lrr-1999-2Relativity in Astrophysics
spellingShingle Kokkotas Kostas
Schmidt Bernd
Quasi-Normal Modes of Stars and Black Holes
Living Reviews in Relativity
Relativity in Astrophysics
title Quasi-Normal Modes of Stars and Black Holes
title_full Quasi-Normal Modes of Stars and Black Holes
title_fullStr Quasi-Normal Modes of Stars and Black Holes
title_full_unstemmed Quasi-Normal Modes of Stars and Black Holes
title_short Quasi-Normal Modes of Stars and Black Holes
title_sort quasi normal modes of stars and black holes
topic Relativity in Astrophysics
url http://www.livingreviews.org/lrr-1999-2
work_keys_str_mv AT kokkotaskostas quasinormalmodesofstarsandblackholes
AT schmidtbernd quasinormalmodesofstarsandblackholes