2025/04/08 by Alex Kehagias, Kehagias, Alex, Antonio Riotto +1 · 1 citation
Physics and Astronomy · #Pulsars and Gravitational Waves Research #Astrophysical Phenomena and Observations #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2504.06224
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 ℓ decay according to a law ∼ t-2ℓ-1, in contrast to the linear Price law scaling ∼ t-2ℓ-3. Consequently, nonlinear tails may persist longer than their linear counterparts.