Stationary axisymmetric spacetimes with a conformally coupled scalar field

TL;DR

This paper develops solution generating techniques in general relativity to construct a broad class of asymptotically flat, axisymmetric, stationary spacetimes with conformally coupled scalar fields, extending known black hole solutions.

Contribution

It introduces new methods to generate solutions in Einstein-scalar theories, including rotating black holes and their multipolar and NUT charge extensions.

Findings

Constructed rotating black hole solutions with scalar fields

Extended solutions to include multipolar and NUT charge features

Connected new solutions to Kerr spacetime

Abstract

Solution generating techniques for general relativity with a conformally (and minimally) coupled scalar field are pushed forward to build a wide class of asymptotically flat, axisymmetric and stationary spacetimes continuously connected to Kerr. This family contains, amongst other things, rotating extensions of the Bekenstein black hole and also its angular and mass multipolar generalisations. Further addition of NUT charge is also discussed.