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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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32 pages, 2 figures, title modified (published version)

Scientific paper

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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