Non-Supersymmetric Attractors and Entropy Function

TL;DR

This paper explores the entropy of non-supersymmetric extremal black holes using the entropy function approach, allowing for straightforward calculation of higher-order corrections like R^2 terms, and introduces a C-function with corrections.

Contribution

It applies the entropy function method to non-supersymmetric black holes, deriving explicit higher-order corrections to entropy and a corrected C-function expression.

Findings

Calculated R^2 corrections to entropy for five-dimensional black holes.

Presented a simple expression for the C-function with higher order corrections.

Demonstrated the applicability of the entropy function method to non-supersymmetric cases.

Abstract

We study the entropy of non-supersymmetric extremal black holes which exhibit attractor mechanism by making use of the entropy function. This method, being simple, can be used to calculate corrections to the entropy due to higher order corrections to the action. In particular we apply this method for five dimensional non-supersymmetric extremal black hole which carries two magnetic charges and find the R^2 corrections to the entropy. Using the behavior of the action evaluated for the extremal black hole near the horizon, we also present a simple expression for C-function corrected by higher order corrections.