Gauss-Bonnet Contributions to the Entropy of Extremal Black Holes in the Gauge-Gravity sector

TL;DR

This paper calculates the entropy of extremal black holes in four dimensions considering higher derivative Gauss-Bonnet terms within a non-minimal Einstein-Maxwell theory, using Sen's mechanism.

Contribution

It provides explicit entropy calculations including Gauss-Bonnet contributions in the gauge-gravity sector for extremal black holes.

Findings

Explicit entropy formulas with Gauss-Bonnet terms derived

Demonstrates the impact of higher derivative corrections on black hole entropy

Extends Sen's mechanism to include non-minimal Einstein-Maxwell theories

Abstract

Using the Sen's mechanism we calculate the entropy for an $AdS_{2}\times S^{d-2}$ extremal and static black hole in four dimensions, with higher derivative terms that comes from a three parameter non-minimal Einstein-Maxwell theory. The explicit results for Gauss-Bonnet in the gauge-gravity sector are shown.