Work

Nonlinear tails of gravitational waves in Schwarzschild black hole ringdown

Year: 2025

Type: article

Abstract: 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.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/j5fw-w3xc

Authors: Alex Kehagias, Antonio Riotto

Institutions: National Technical University of Athens, European Organization for Nuclear Research, University of Geneva

Language: English

Topic: Pulsars and Gravitational Waves Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Awards: G1137844791, GW-Learn: Deciphering the Gravitation-Wave Universe using the Next-Generation Observatories and Machine Learning