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arXiv · 2105.02305

Generalized Price's law on fractional-order asymptotically flat stationary spacetimes

Katrina Morgan·Jared Wunsch
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Abstract

We obtain estimates on the rate of decay of a solution to the wave equation on a stationary spacetime that tends to Minkowski space at a rate $O(\lvert x \rvert^{-\kappa}),$ $\kappa \in (1,\infty) \backslash \mathbb{N}.$ Given suitably smooth and decaying initial data, we show a wave locally enjoys the decay rate $O(t^{-\kappa-2+\epsilon})$.

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Katrina Morgan, Jared Wunsch. 2021-05-05. Generalized Price's law on fractional-order asymptotically flat stationary spacetimes. https://arxiv.org/abs/2105.02305

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