Polish Doughnuts around Scalarized Kerr Black Holes

TL;DR

This paper explores novel thick torus configurations around Kerr Black Holes with Scalar Hair, revealing new topologies and static surfaces, and comparing these structures with those around standard Kerr black holes and boson stars.

Contribution

It introduces the first analysis of thick tori around KBHsSH, discovering new topologies like double-centered tori and static surfaces, expanding understanding of fluid structures in these spacetimes.

Findings

Feasibility of double-centered tori with two cusps.

Presence of static surfaces associated with static rings.

Differences in fluid configurations between KBHsSH, Kerr black holes, and boson stars.

Abstract

In this work we aim to investigate non-mainstream thick tori configurations around Kerr Black Holes with Scalar Hair (KBHsSH). For that goal, we provide a first approach using constant specific angular momentum non-self-gravitating Polish doughnuts. Through a series of examples, we show the feasibility of new topologies, such as double-centered tori with two cusps as well as similar structures as the ones found for rotating Boson Stars (BSs), namely tori endowed with two centers and a single cusp. These KBHsSH' solutions are also shown to possibly house static surfaces, associated to the static rings present in these spacetimes. Through this report we highlight the differences between these fluid configurations when housed by some KBHsSH examples, standard Kerr black holes and rotating BSs.