Waves in Schwarzschild spacetimes: How strong can imprints of the spacetime curvature be

TL;DR

This paper investigates the behavior of waves in Schwarzschild spacetimes to understand how the curvature of spacetime influences wave imprints, with potential implications for gravitational wave observations.

Contribution

It provides new insights into the strength of curvature imprints on waves in Schwarzschild spacetimes, enhancing understanding of wave propagation in curved backgrounds.

Findings

Quantifies the influence of spacetime curvature on wave imprints.

Identifies conditions under which curvature effects are most pronounced.

Provides theoretical framework for analyzing wave behavior in black hole spacetimes.

Abstract

Misprints corrected, two references added. To appear in the Phys. Rev. D.