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arXiv · 1602.04021

Scalar field conformally coupled to a charged BTZ black hole

P. Valtancoli
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Abstract

We study the Klein-Gordon equation of a scalar field conformally coupled to a charged BTZ black hole. The background metric is obtained by coupling a non-linear and conformal invariant Maxwell field to (2+1) gravity. We show that the radial part is generally solved by a Heun function and, in the pure gravity limit, by a hypergeometric function.

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P. Valtancoli. 2016-02-12. Scalar field conformally coupled to a charged BTZ black hole. https://doi.org/10.1016/j.aop.2016.03.013

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