Late Time Tail of Wave Propagation on Curved Spacetime

TL;DR

The late time behavior of waves propagating on a general curved spacetime is studied and the late time tail is not necessarily an inverse power of time.

Abstract

The late time behavior of waves propagating on a general curved spacetime is studied. The late time tail is not necessarily an inverse power of time. Our work extends, places in context, and provides understanding for the known results for the Schwarzschild spacetime. Analytic and numerical results are in excellent agreement.