Gauss-Bonnet Contributions to the Entropy of Extremal Black Holes in the   Gauge-Gravity sector
  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. 
A. Ulacia Rey
hep-th gr-qc