Black holes from multiplets of scalar fields in 2+1- and 3+1-dimensions

TL;DR

This paper constructs new black hole solutions in 2+1 and 3+1 dimensions using multiplets of scalar fields with self-interacting potentials, enriching the landscape of black hole spacetimes.

Contribution

It introduces exact black hole solutions derived from scalar multiplets without symmetry breaking, highlighting the role of self-interacting potentials in these models.

Findings

New classes of black hole solutions in lower and higher dimensions.

Scalar multiplets enrich black hole spacetime structures.

Self-interacting potentials are crucial for obtaining exact solutions.

Abstract

We obtain classes of black hole solutions constructed from multiplets of scalar fields in 2+1 / 3+1 dimensions. The multi-component scalars don't undergo a symmetry breaking so that only the isotropic modulus is effective. The Lagrangian is supplemented by a self-interacting potential which plays significant role in obtaining the exact solutions. In 2+1 / 3+1 dimensions doublet / triplet of scalars is effective which enriches the available black hole spacetimes and creates useful Liouville weighted field theoretic models.