Large Charge Four-Dimensional Non-Extremal N=2 Black Holes with R^2-Terms

TL;DR

This paper constructs and analyzes large charge non-extremal black hole solutions in four-dimensional N=2 supergravity with R^2 corrections, exploring their thermodynamics and extending previous extremal solutions.

Contribution

It presents the first construction of large charge non-extremal black holes with R^2 terms in N=2 supergravity, including their thermodynamic analysis and relation to extremal limits.

Findings

The entropy of non-extremal black holes resembles extremal entropy with modified charges.

Solutions include both supersymmetric and non-supersymmetric extremal limits.

The behavior of entropy with R^2 terms matches the case without such corrections.

Abstract

We consider N=2 supergravity in four dimensions with small R^2 curvature corrections. We construct large charge non-extremal black hole solutions in all space, with either a supersymmetric or a non-supersymmetric extremal limit, and analyze their thermodynamic properties. This generalizes some of the extremal solutions presented in [arXiv:0902.0831]. The indexed entropy of the non-extremal extension of the supersymmetric black hole, has the form of the extremal entropy, with the charges replaced by a function of the charges, the moduli at infinity and the non-extremality parameter. This is the same behavior as in the case without R^2-terms.