Eur. Phys. J. C (2012) 72: 1911
https://doi.org/10.1140/epjc/s10052-012-1911-7

Regular Article - Theoretical Physics

EVH black hole solutions with higher derivative corrections

Department of Physics, Kyung Hee University, Seoul, 130-701, Korea

^* e-mail: yavar@khu.ac.kr

Received: 15 January 2012
Revised: 5 February 2012
Published online: 7 March 2012

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 a 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.