Abstract

We study the static, spherically symmetric black hole solutions for a nonminimally coupled multiscalar 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 $\ensuremath{\kappa}=0$ constraint which typically indicates extremal solutions in other models. This implies that the limiting extremal solutions have nonzero, finite and varying surface gravity. These solutions also violate the no-hair theorems for $Ng1$ scalar fields and have previously been proven to be linearly stable.

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