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arXiv · 1705.04251

Resolvent estimates for spacetimes bounded by Killing horizons

Oran Gannot
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Abstract

We show that the resolvent grows at most exponentially with frequency for the wave equation on a class of stationary spacetimes which are bounded by non-degenerate Killing horizons, without any assumptions on the trapped set. Correspondingly, there exists an exponentially small resonance-free region, and solutions of the Cauchy problem exhibit logarithmic energy decay.

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Oran Gannot. 2017-05-11. Resolvent estimates for spacetimes bounded by Killing horizons. https://doi.org/10.2140/apde.2019.12.537

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