Einstein–Maxwell gravity with additional corrections
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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.
KeywordsBlack Hole Black Hole Solution Einstein Gravity Maxwell Field Lovelock Gravity
We wish to thank Shiraz University Research Council. This work has been supported financially by Research Institute for Astronomy & Astrophysics of Maragha (RIAAM), Iran.
- 10.J.T. Liu, P. Szepietowski, Higher derivative corrections to R-charged AdS5 black holes and field redefinitions. arXiv:0806.1026