Hairy black hole solutions in $U(1)$ gauge-invariant scalar-vector-tensor theories

TL;DR

This paper investigates new black hole solutions with scalar and vector hairs in gauge-invariant scalar-vector-tensor theories, revealing how specific interactions lead to hairy black holes with distinctive properties.

Contribution

It demonstrates the existence of novel hairy black hole solutions in shift-symmetric scalar-vector-tensor theories with specific higher-order interactions.

Findings

Existence of hairy black holes with scalar hair near the horizon

Regular black holes with both scalar and vector hairs

Scalar-vector interactions influence black hole properties

Abstract

In $U(1)$ gauge-invariant scalar-vector-tensor theories with second-order equations of motion, we study the properties of black holes (BH) on a static and spherically symmetric background. In shift-symmetric theories invariant under the shift of scalar $\phi \to \phi+c$, we show the existence of new hairy BH solutions where a cubic-order scalar-vector interaction gives rise to a scalar hair manifesting itself around the event horizon. In the presence of a quartic-order interaction besides the cubic coupling, there are also regular BH solutions endowed with scalar and vector hairs.