Late Time Tail of Wave Propagation on Curved Spacetime

TL;DR

This paper investigates the late-time behavior of wave propagation on curved spacetimes, revealing that tails are not always inverse power laws and extending understanding beyond Schwarzschild spacetime with analytic and numerical validation.

Contribution

It extends the analysis of wave tails to general curved spacetimes, challenging the assumption of inverse power law decay and providing a broader theoretical framework.

Findings

Late time tails are not necessarily inverse power laws.

Analytic and numerical results are in excellent agreement.

Provides a generalized understanding of wave decay on curved spacetimes.

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.