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Quasi-Normal Modes of Stars and Black Holes

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Kokkotas, Kostas D., Schmidt, Bernd G.·1999·Living Reviews in Relativity

Abstract

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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Metadata

Authors
Kokkotas, K. D., & Schmidt, B. G.
Venue
Living Reviews in Relativity
Published
1999-09-16
Volume
2
Issue
1
Pages
2-2
ISSN
  • 1433-8351 (ISSN-L)
  • 2367-3613
OpenAlex
W2120923477
Cited by
2,055
References
1
FWCI
6.62
Type
journal article
Language
en
Open access
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CoChat. (2026). Citation check: Quasi-Normal Modes of Stars and Black Holes. https://app.cochat.ai/papers/10.12942/lrr-1999-2
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Kokkotas, K. D., & Schmidt, B. G. (1999). Quasi-Normal Modes of Stars and Black Holes. Living Reviews in Relativity. https://doi.org/10.12942/lrr-1999-2

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