Excited States of Maximal Warm Holes

Recently, the Einstein-Maxwell-scalar model with a non-minimal coupling between the scalar and Maxwell fields was explored. As a result, a new class of black hole solutions with scalar hair was discovered. By fixing the mass of a black hole and taking the maximum allowable charge, an extremal black hole was obtained. Interestingly, this extremal black hole not only possesses an event horizon with a non-zero surface area but also exhibits a non-zero Hawking temperature. This unique type of extremal black hole is referred to as a maximal warm hole (MWH). In this paper, we revisit this model and examine these black holes with highly excited state fields. We discovered that an excited state MWH solution can also be obtained under extremal conditions. We investigate the range of existence for excited states and analyze their relevant physical properties.

Automated summary

Recently, researchers explored the Einstein-Maxwell-scalar model with a non-minimal coupling between the scalar and Maxwell fields and discovered a new class of black hole solutions with scalar hair. An extremal black hole was obtained by fixing the mass of a black hole and taking the maximum allowable charge. This extremal black hole, called a maximal warm hole (MWH), has both a non-zero surface area event horizon and a non-zero Hawking temperature. In this paper, the authors revisit this model and examine excited state black holes, finding that an excited state MWH solution can also be obtained under extremal conditions. The range of existence for excited states is investigated and their relevant physical properties are analyzed.