Kerroll black holes

TL;DR

This paper constructs and analyzes rotating black hole solutions within Carroll gravity, introducing the novel 'Kerroll black hole' as a Carrollian analog of the Kerr black hole with unique rotational properties.

Contribution

It presents two approaches to formulating rotating black holes in Carroll gravity, including the first explicit construction of a Carrollian Kerr analog, the 'Kerroll black hole.'

Findings

Constructed rotating solutions in magnetic Carroll gravity.

Extended magnetic Carroll gravity from general relativity with odd-power expansion.

Identified the 'Kerroll black hole' as a Carrollian Kerr analog with intrinsic rotation effects.

Abstract

We construct rotating black holes in Carroll gravity using two distinct approaches. In one of them, we exploit the freedom in the Carroll compatible connection to encode rotation. In particular, we construct rotating solutions in magnetic Carroll gravity by dressing the Carroll-Schwarzschild black hole with a rotational charge. This solution is intrinsically Carrollian and has no Lorentzian analog. In the other approach, we construct an extension of magnetic Carroll gravity from general relativity in an odd-power expansion in the speed of light. This theory contains magnetic Carroll gravity as a subsector but has in general more physical degrees of freedom. We show that this theory admits a Carroll analog of the Kerr black hole as a solution, which we refer to as the "Kerroll black hole". Its rotation appears as an intrinsically odd-power effect in the Carroll data. We compute the corresponding conserved charges for both theories.