Eur. Phys. J. C (2013) 73: 2634
https://doi.org/10.1140/epjc/s10052-013-2634-0

Regular Article - Theoretical Physics

Einstein–Maxwell gravity with additional corrections

¹ Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran
² Research Institute for Astrophysics and Astronomy of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran

^* e-mail: hendi@shirazu.ac.ir

Received: 1 October 2013
Published online: 5 November 2013

Abstract

Motivated by the E ₈×E ₈ heterotic string theory, we obtain topological black hole solutions of Einstein–Maxwell gravity with additional corrections. We consider the Gauss–Bonnet (GB) and (F _μν F ^μν )² terms as an effective quartic order Lagrangian of gauge–gravity coupling and investigate geometric and thermodynamic properties of the black hole solutions. We also analyze the effects of the GB term as well as the correction of Maxwell field on the properties of the solutions.