Scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two U(1) fields
Abstract
We study scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two different scalar couplings to two U(1) fields. This theory is inspired by the bosonic sector of N=4 supergravity. Two scalarzied extremal black holes are found with constant secondary scalar hair. We confirm that these are exactly obtained from the standard scalarization and entropy function approach. This may imply that it is not easy to find extremal black holes with primary scalar hair.
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