EVH Black Hole Solutions With Higher Derivative Corrections

TL;DR

This paper investigates how higher derivative Gauss-Bonnet corrections influence the near horizon geometry of extremal vanishing horizon black holes, revealing the development of an AdS3 throat in four-dimensional Einstein-Maxwell-dilaton theory.

Contribution

It demonstrates that Gauss-Bonnet corrections induce an AdS3 throat in EVH black holes within a string theory-inspired Einstein-Maxwell-dilaton framework.

Findings

EVH black holes develop an AdS3 throat with higher derivative corrections.

Gauss-Bonnet correction affects near horizon geometry.

Results are relevant for string theory compactifications.

Abstract

We analyze the effect of higher derivative corrections to the near horizon geometry of the extremal vanishing horizon (EVH) black hole solutions in four dimensions. We restrict ourselves to the Gauss-Bonnet correction with a dilation dependent coupling in an Einstein Maxwell dilaton theory. This action may represent the effective action as it arises in tree level heterotic string theory compactified to four dimensions or the K3 compactification of type II string theory. We show that EVH black holes, in this theory, develop an AdS3 throat in their near horizon geometry.