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

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(|x| -κ ), κ ∈ (1, ∞)\N.Given suitably smooth and decaying initial data, we show a wave locally enjoys the decay rate O(t -κ-2+ϵ ).

Locations

• Mathematical Research Letters - View - PDF
• arXiv (Cornell University) - View - PDF