Abstract
We present a class of asymptotically anti-de Sitter charged rotating black hole solutions in f(T) gravity in N-dimensions, where f(T)=T+alpha T^{2}. 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.
Highlights
Since the confirmation of the above cosmological observations there have been several proposed extensions of general relativity (GR) which are based on Riemannian as well as other types of geometries
We present a new class of charged rotating solutions in f (T ) theories in N dimensions
It is worth to mention that these solutions cannot be considered as special cases of the solutions of the cubic polynomial f (T ) gravity which have been recently studied in [41]
Summary
Since the confirmation of the above cosmological observations there have been several proposed extensions of GR which are based on Riemannian as well as other types of geometries. C (2019) 79:668 tive cosmological constant, where f (T ) = T + αT 2 These asymptotically AdS black holes are characterized by cylindrical, toroidal or flat horizons depending on the global identifications of some coordinates. These solutions can be constructed from coordinate transformations which are allowed locally on a manifold but not globally [39]. The charged static configurations obtained in [3] are recovered in the limit of vanishing rotation parameters These interesting black hole solutions have two different electric multipole terms in the electric potential with related multipole moments. In the final section we comment on some physical aspects of these black hole solutions
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