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Decay of Solutions of the Teukolsky Equation for Higher Spin in the Schwarzschild Geometry

Felix Finster·Joel Smoller
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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 $L^\infty_{loc}$.

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Felix Finster, Joel Smoller. 2016-08-25. Decay of Solutions of the Teukolsky Equation for Higher Spin in the Schwarzschild Geometry. https://doi.org/10.4310/atmp.2009.v13.n1.a3

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