2014/03/22 by Masoud Allahverdizadeh, Seyed H. Hendi, Ahmad Sheykhi
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.89.084049
published as Phys. Rev. D 89, 084049 (2014) · 12 pages, 4 figures, the version to appear in Phys. Rev. D. arXiv admin note: text overlap with arXiv:1007.4250 by other authors
arxiv created 2014/03/22 · arxiv updated 2015/06/19
A class of perturbative charged rotating dilaton black hole solutions coupled to the nonlinear Born-Infeld electrodynamics is presented. The strategy for obtaining these solutions is to start from Myers-Perry solutions, and then considering the effects of the dilaton field, Born-Infeld parameter as well as the electric charge as a perturbative parameter. We perform the perturbations up to 4th order in the extremal black holes of Einstein-Born-Infeld-dilaton gravity with equal angular momentum and arbitrary dilaton coupling constant. We discuss the physical properties of these black holes and study their dependence on the perturbative parameter q, the dilaton coupling constant α and the Born-Infeld parameter β. One can see these black holes solutions satisfy a generalized Smarr relation.