Quasi-Normal Modes of Stars and Black Holes

Details Quasi-Normal Modes of Stars and Black Holes Quasi-Normal Modes of Stars and Black Holes

1999-09-20

arxiv.org/abs/gr-qc/9909058v1

LivingRev.Rel.2:2,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

74 pages, 7 figures, Review article for "Living Reviews in Relativity"

Scientific paper

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-Nordstr\"om, 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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