Exactly Soluble BPS Black Holes in Higher Curvature N=2 Supergravity

TL;DR

This paper constructs exact BPS black hole solutions in four-dimensional N=2 supergravity with higher curvature interactions, revealing modifications to black hole entropy and geometry due to quadratic and curvature-squared terms.

Contribution

It introduces a class of exactly solvable BPS black holes in higher curvature N=2 supergravity, analyzing their geometry, mass, and entropy.

Findings

Black hole geometry features stretched horizons and multiple regions.

Entropy depends on charges and higher curvature terms, deviating from proportionality to mass-squared.

Exact solutions demonstrate the impact of quadratic and curvature-squared terms on black hole properties.

Abstract

We find a class of d=4, N=2 supergravity with $R^2$-interactions that admits exact BPS black holes. The prepotential contains quadratic, cubic and chiral curvature-squared terms. Black hole geometry realizes stretched horizon, and consists of anti-de Sitter, intermediate and outermost flat regions. Mass and entropy depends on charges and are modified not only by higher curvature terms but also by quadratic term in the prepotential. Consequently, even for large charges, entropy is no longer proportional to mass-squared.