Corrections to the Aretakis-type behavior of the metric due to an infalling particle

E. T. Akhmedov, P. A. Anempodistov, I. D. Ivanova
2019 Physical Review D  
We consider an extremal Reissner-Nordström black hole perturbed by a neutral massive point particle, which falls in radially. We study the linear metric perturbation in the vicinity of the black hole and find that the l=0 and l=1 spherical modes of the metric oscillate rather than decay.
doi:10.1103/physrevd.99.044018 fatcat:5fx45iw5jrbd5fenwvtp6p6eny