Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory

Two derivative Jackiw Teitelboim gravity theory captures the near horizon dynamics of higher dimensional extremal black holes, which is governed by a Schwarzian action at boundary in region. The partition function corresponding to this correctly gives statistical entropy hole. In paper, we study thermodynamics spherically symmetric four holes presence arbitrary perturbative corrections. We find that again captured JT like with particular namely square Ricci scalar modification. Effectively described gets suitably modified due interactions. Near entropy, free energy also get corrected accordingly.