Source-Driven Tails in Kerr Spacetime: Nonlinear effects in Late-Time Behavior
Published in arXiv (gr-qc), 2026
Recommended citation: Som Dev Bishoyi, Subir Sabharwal, and Gaurav Khanna. (2026). "Source-Driven Tails in Kerr Spacetime: Nonlinear effects in Late-Time Behavior." arXiv:2601.11484 [gr-qc]. https://arxiv.org/pdf/2601.11484
Abstract: We present long-duration time-domain simulations of scalar-field tails in Kerr spacetimes driven by outgoing multipolar sources. Extending recent work from Schwarzschild to rotating black holes, we evolve sources with $\ell’$ in ${0, 1, 2, 3, 4}$ on backgrounds with dimensionless spin $a/M$ in ${0.0, 0.8, 1.0}$ and extract the late-time decay rates of measured modes $\ell \leq 4$ for a nonlinearity-inspired outgoing source with a $1/r^2$ fall-off. In all cases we find the inverse power-law index $p_{l l’}$ to be larger than the source-free Price law values by one unit, i.e. $p^{sourced}{l l’} = p^{Price}{l l’} + 1$. We also include a power-law index value computation for a similar source-driven gravitational wave case $(\ell, m) = (4, 4)$ and confirm closely related results in the recent literature.