Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-10-08
in The Eighth Marcel Grossmann Meeting, Volume I, edited by Tsvi Piran (World Scientific, Singapore, 1999), p.p. 750-752
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages. Talk presented at the Eighth Marcel Grossmann Meeting, June 22 - June 27, 1997, Jerusalem, Israel
Scientific paper
We study numerically the fully nonlinear spherically-symmetric collapse of a self-gravitating, minimally-coupled, massless scalar field. Our numerical code is based on double-null coordinates and on free evolution of the metric functions and the scalar field. The numerical code is stable and second-order accurate. We use this code to study the late-time asymptotic behavior at fixed $r$ (outside the black hole), along the event horizon, and along future null infinity. In all three asymptotic regions we find that, after the decay of the quasi-normal modes, the perturbations are dominated by inverse power-law tails. The corresponding power indices agree with the integer values predicted by linearized theory. We also study the case of a charged black hole nonlinearly perturbed by a (neutral) self-gravitating scalar field, and find the same type of behavior---i.e., quasi-normal modes followed by inverse power-law tails, with the same indices as in the uncharged case.
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