Attractor Horizon Geometries of Extremal Black Holes

TL;DR

This paper explores the critical points of the black hole effective potential in N=2, d=4 supergravity, focusing on attractor solutions and their geometric properties in the context of extremal black holes with multiple charges.

Contribution

It advances understanding of attractor geometries in supergravity by analyzing critical points of the black hole potential in a complex scalar manifold setting.

Findings

Identification of attractor points in the moduli space.

Characterization of the geometric structure of attractor horizons.

Insights into the stability of extremal black hole solutions.

Abstract

We report on recent advances in the study of critical points of the ``black hole effective potential'' V_{BH} (usually named \textit{attractors}) of N=2, d=4 supergravity coupled to n_{V} Abelian vector multiplets, in an asymptotically flat extremal black hole background described by 2n_{V}+2 dyonic charges and (complex) scalar fields which are coordinates of an n_{V}-dimensional Special Kahler manifold.