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Late-time Evolution of a Charged Massless Scalar Field in the Spacetime of a Dilaton Black Hole

Rafal Moderski·Marek Rogatko
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Abstract

We investigate the power-law tails in the evolution of a charged massless scalar field around a fixed background of a dilaton black hole. Using both analytical and numerical methods we find the inverse power-law relaxation of charged fields at future timelike infinity, future null infinity, and along the outer horizon of the considered black hole. We invisage that a charged hair decays slower than neutral ones. The oscillatory inverse power law along the outer horizon of the dilaton black hole is of a great importance for a mass inflation scenario along the Cauchy horizon of a dynamically formed dilaton black hole.

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Rafal Moderski, Marek Rogatko. 2001-04-18. Late-time Evolution of a Charged Massless Scalar Field in the Spacetime of a Dilaton Black Hole. https://doi.org/10.1103/physrevd.63.084014

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