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Nonlinear Tails of Gravitational Waves in Schwarzschild Black Hole Ringdown by Kehagias, Alex; Riotto, Antonio is a scholarly article available to read on EtoBox.

What is Nonlinear Tails of Gravitational Waves in Schwarzschild Black Hole Ringdown about?

Schwarzschild black holes evolve toward their static configuration by emitting gravitational waves, which decay over time following a power law at fixed spatial positions. We derive this power law analytically for the second-order even gravitational perturbations, demonstrating that it is determined by the fact that the second-order source decays as the inverse square of the distance. Quadratic gravitational modes with multipole $\ell$ decay according to a law $\sim t^{-2\ell-1}$, in contrast to the linear Price law scaling $\sim t^{-2\ell-3}$. Consequently, nonlinear tails may persist longer than their linear counterparts.

Author

Kehagias, Alex; Riotto, Antonio

Published

2025

Language

EN