Source-Driven Tails in Kerr Spacetime: Nonlinear effects in Late-Time Behavior
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arXiv
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| Format: | Preprint |
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2026
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| author | Bishoyi, Som Dev Sabharwal, Subir Khanna, Gaurav |
| author_facet | Bishoyi, Som Dev Sabharwal, Subir Khanna, Gaurav |
| contents | We present the long-duration time-domain simulations of scalar-field tails in Kerr spacetimes driven by
\emph{outgoing} multipolar sources. Extending the recent work in the literature from Schwarzschild to rotating black holes, we evolve
sources with $\ell'=\{0,1,2,3,4\}$ on backgrounds with dimensionless spin $a/M=\{0.0, 0.8, 1.0\}$ and extract the late-time decay rates of
measured modes $\ell\le4$ for a nonlinearity-inspired outgoing source with a $1/r^2$ fall-off. In all cases we find the inverse
power-law index $p_{\ell\ell'}$ to be larger than the source-free Price law values by one unit, i.e. $p^{\text{sourced}}_{\ell\ell'} =
p^{\text{Price}}_{\ell\ell'} + 1$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11484 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Source-Driven Tails in Kerr Spacetime: Nonlinear effects in Late-Time Behavior Bishoyi, Som Dev Sabharwal, Subir Khanna, Gaurav General Relativity and Quantum Cosmology We present the long-duration time-domain simulations of scalar-field tails in Kerr spacetimes driven by \emph{outgoing} multipolar sources. Extending the recent work in the literature from Schwarzschild to rotating black holes, we evolve sources with $\ell'=\{0,1,2,3,4\}$ on backgrounds with dimensionless spin $a/M=\{0.0, 0.8, 1.0\}$ and extract the late-time decay rates of measured modes $\ell\le4$ for a nonlinearity-inspired outgoing source with a $1/r^2$ fall-off. In all cases we find the inverse power-law index $p_{\ell\ell'}$ to be larger than the source-free Price law values by one unit, i.e. $p^{\text{sourced}}_{\ell\ell'} = p^{\text{Price}}_{\ell\ell'} + 1$. 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. |
| title | Source-Driven Tails in Kerr Spacetime: Nonlinear effects in Late-Time Behavior |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2601.11484 |