Flows of Extremal Attractor Black Holes

TL;DR

This paper investigates the behavior and stability of extremal attractor black holes within gauge/gravity duality, revealing two solution types with differing thermodynamic stability properties.

Contribution

It introduces a study of non-supersymmetric extremal black hole flows with a dilaton potential, identifying stability differences between smooth and non-smooth solutions.

Findings

Smooth solutions are thermodynamically unstable.

Non-smooth solutions are thermodynamically stable.

Two distinct attractor black hole solutions are characterized.

Abstract

We study flows of non-supersymmetric attractor black holes in the context of gauge/gravity correspondence. As our bulk theory, we consider the Einstein-Maxwell-Dilaton system with a single dilaton field coupled to two Maxwell fields and make a relevant deformation by adding a bare potential to the dilaton field. We find two types of extremal black hole solutions with attractor mechanism: The one smooth at the horizon and the other non-smooth. We show from both bulk and boundary theory perspective that the former is thermodynamically unstable, while the latter is stable.