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Generalized Price's law on fractional-order asymptotically flat stationary spacetimes (2105.02305v3)
Published 5 May 2021 in math.AP and math.SP
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 $O(t{-\kappa-2+\epsilon})$.