Axially symmetric static scalar solitons and black holes with scalar hair

TL;DR

This paper constructs new static, asymptotically flat black hole solutions with scalar hair that evade traditional no-hair theorems, including axially symmetric solutions with positive specific heat, and explores their scalar soliton limits.

Contribution

It introduces axially symmetric static black hole solutions with scalar hair using a non-positive scalar potential, expanding the known solution space.

Findings

Existence of static, asymptotically flat black holes with scalar hair.

Discovery of axially symmetric black holes with positive specific heat.

Scalar soliton solutions as a regular limit of black hole solutions.

Abstract

We construct static, asymptotically flat black hole solutions with scalar hair. They evade the no-hair theorems by having a scalar potential which is not strictly positive. By including an azimuthal winding number in the scalar field ansatz, we find hairy black hole solutions which are static but axially symmetric only. These solutions possess a globally regular limit, describing scalar solitons. A branch of axially symmetric black holes is found to possess a positive specific heat.