Subttractors

TL;DR

This paper studies extremal black holes called 'subttractors' that maintain their near-horizon geometry under perturbations, revealing how their asymptotics can change from conical-box to flat space, and explores their role as boundaries of attraction basins.

Contribution

It introduces the concept of 'subttractors' as extremal solutions that preserve near-horizon geometry while altering asymptotics, and demonstrates their emergence as basin boundaries using an integrable model.

Findings

Extremality makes the horizon attractive against scalar perturbations.

Radial evolution changes asymptotics from conical-box to Minkowski.

Subttractors form boundaries of attraction basins for flat space solutions.

Abstract

We consider extremal limits of the recently constructed "subtracted geometry". We show that extremality makes the horizon attractive against scalar perturbations, but radial evolution of such perturbations changes the asymptotics: from a conical-box to flat Minkowski. Thus these are black holes that retain their near-horizon geometry under perturbations that drastically change their asymptotics. We also show that this extremal subtracted solution ("subttractor") can arise as a boundary of the basin of attraction for flat space attractors. We demonstrate this by using a fairly minimal action (that has connections with STU model) where the equations of motion are integrable and we are able to find analytic solutions that capture the flow from the horizon to the asymptotic region. The subttractor is a boundary between two qualitatively different flows. We expect that these results have generalizations for other theories with charged dilatonic black holes.