https://doi.org/10.1140/epjc/s10052-019-7182-9
Regular Article - Theoretical Physics
Rotating charged AdS solutions in quadratic f(T) gravity
1
Department of Physics, School of Sciences and Engineering, American University in Cairo, P.O. Box 74, AUC Avenue New Cairo, Cairo, Egypt
2
Department of Physics, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt
3
Centre for Theoretical Physics, the British University in Egypt, El Sherouk City, 11837, Egypt
4
Egyptian Relativity Group, Cairo University, Giza, 12613, Egypt
* e-mail: nashed@bue.edu.eg
Received:
8
April
2019
Accepted:
31
July
2019
Published online:
8
August
2019
We present a class of asymptotically anti-de Sitter charged rotating black hole solutions in f(T) gravity in N-dimensions, where 
. These solutions are nontrivial extensions of the solutions presented in Lemos (Phys Lett B 353:46–51. arXiv:gr-qc/9404041, 1995) and Awad (Class Quantum Gravity 20:2827–2834. arXiv:hep-th/0209238, 2003) in the context of general relativity. They are characterized by cylindrical, toroidal or flat horizons, depending on global identifications. The static charged black hole configurations obtained in Awad et al. (JHEP 07:136. arXiv:1706.01773, 2017) are recovered as special cases when the rotation parameters vanish. Similar to Awad et al. (JHEP 07:136. arXiv:1706.01773, 2017) the static black holes solutions have two different electric multipole terms in the potential with related moments. Furthermore, these solutions have milder singularities compared to their general relativity counterparts. Using the conserved charges expressions obtained in Ulhoa and Spaniol (Int J Mod Phys D 22:1350069. arXiv:1303.3144, 2013) and Maluf and Ulhoa (Gen Relativ Grav 41:1233–1247. arXiv:0810.1934, 2009) we calculate the total mass/energy and the angular momentum of these solutions.
© The Author(s), 2019
