Non-Supersymmetric Attractors in BI black holes

TL;DR

This paper investigates the attractor mechanism in extremal Einstein-Born-Infeld black holes, demonstrating the existence of regular solutions with attractor behavior influenced by higher derivative gauge interactions.

Contribution

It provides the first analysis of non-supersymmetric attractors in Einstein-Born-Infeld theories, including backreaction effects and higher derivative interactions.

Findings

Existence of regular extremal black hole solutions with attractor behavior.

Attractor points determined by extremizing the effective potential.

Supports non-supersymmetric attractors with higher derivative gauge interactions.

Abstract

We study attractor mechanism in extremal black holes of Einstein-Born-Infeld theories in four dimensions. We look for solutions which are regular near the horizon and show that they exist and enjoy the attractor behavior. The attractor point is determined by extremization of the effective potential at the horizon. This analysis includes the backreaction and supports the validity of non-supersymmetric attractors in the presence of higher derivative interactions in the gauge field part.