Attraction, with Boundaries

Understand

We study the basin of attraction of static extremal black holes, in the concrete setting of the STU model.

• By finding a connection to a decoupled Toda-like system and solving it exactly, we find a simple way to characterize the attraction basin via competing behaviors of certain parameters.
• The boundaries of attraction arise in the various limits where these parameters degenerate to zero.
• We find that these boundaries are generalizations of the recently introduced (extremal) subtracted geometry: the warp factors still exhibit asymptotic integer power law behaviors, but the powers can be different from one.