Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry

Finster, Felix and Smoller, Joel (2009) Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 13 (1). pp. 71-110. ISSN 1095-0761, 1095-0753

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Abstract

We prove that the Schwarzschild black hole is linearly stable under electromagnetic and gravitational perturbations. Our method is to show that for spin s = 1 or s = 2, solutions of the Teukolsky equation with smooth, compactly supported initial data outside the event horizon, decay in L-loc(infinity).

Item Type: Article
Uncontrolled Keywords: ROTATING BLACK HOLE; WAVE-EQUATION; KERR GEOMETRY; PERTURBATIONS; STABILITY; FIELD; COLLAPSE; SCALAR;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Felix Finster
Depositing User: Dr. Gernot Deinzer
Date Deposited: 12 Oct 2020 04:50
Last Modified: 12 Oct 2020 04:51
URI: https://pred.uni-regensburg.de/id/eprint/29605

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