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arXiv · 1510.06169

Late-time decay of perturbations outside extremal charged black hole

Orr Sela
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Abstract

We analyze the late-time decay of scalar perturbations in extremal Reissner-Nordstrom spacetime. We consider individual spherical-harmonic modes $l$ of a test massless scalar field, restricting our attention to initial data of compact support, with generic regular behavior across the horizon. We obtain a decay rate $\propto t^{-(2l+3)}$ (just like in Schwarzschild) for incident waves scattered by the black hole. However, for waves originating at the horizon's neighborhood we obtain a slightly slower decay, $\propto t^{-(2l+2)}$. We discuss relations to previous works.

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Orr Sela. 2016-01-27. Late-time decay of perturbations outside extremal charged black hole. https://doi.org/10.1103/physrevd.93.024054

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