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arXiv · 1608.05392

High-order tail in Kerr spacetime

Marc Casals·Chris Kavanagh·Adrian C. Ottewill
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Abstract

We investigate the late-time tail of the retarded Green function for the dynamics of a linear field perturbation of Kerr spacetime. We develop an analytical formalism for obtaining the late-time tail up to arbitrary order for general integer spin of the field. We then apply this formalism to obtain the details of the first five orders in the late-time tail of the Green function for the case of a scalar field: to leading order we recover the known power law tail $t^{-2\ell-3}$, and at third order we obtain a logarithmic correction, $t^{-2\ell-5}\ln t$, where $\ell$ is the field multipole.

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Marc Casals, Chris Kavanagh, Adrian C. Ottewill. 2016-08-18. High-order tail in Kerr spacetime. https://doi.org/10.1103/physrevd.94.124053

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