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arXiv · 0709.2541

Non-minimally coupled multi-scalar black holes

Ben M. Leith·Alex B. Nielsen
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Abstract

We study the static, spherically symmetric black hole solutions for a non-minimally coupled multi-scalar theory. We find numerical solutions for values of the scalar fields when a certain constraint on the maximal charge is satisfied. Beyond this constraint no black hole solutions exist. This constraint therefore corresponds to extremal solutions, however, this does not match the κ= 0 constraint which typically indicates extremal solutions in other models. This implies that the set of extremal solutions have non-zero, finite and varying surface gravity. These solutions also violate the no-hair theorems for N>1 scalar fields and have previously been proven to be linearly stable.

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Ben M. Leith, Alex B. Nielsen. 2007-09-17. Non-minimally coupled multi-scalar black holes. https://doi.org/10.1103/physrevd.76.124024

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