A numerically accurate investigation of black-hole normal modes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Field Mode Theory, Gravitational Collapse, Resonant Frequencies, Schwarzschild Metric, Astronomical Models, Numerical Integration, Perturbation Theory

Scientific paper

The oscillations of a Schwarzschild black hole, describing the late time ringing expected after, for example, a gravitational collapse, are discussed in terms of the characteristic normal-mode frequencies. A condition determining these frequencies is derived within the phase-amplitude method. The numerical results obtained using this condition are of very high accuracy, and the phase-amplitude analysis seems to provide a powerful alternative to the previous investigations of the normal-mode problem.

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