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Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity

2012/02/29 by Mahamadou Hamani Daouda, M. Hamani Daouda, Manuel E. Rodrigues +1 · 72 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Anisotropy #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Spacetime #Tangent #Tangent space #Tensor (intrinsic definition) #Wormhole #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2012.07.039

published in Physics Letters B 715(1-3), 241-245 (Elsevier BV) · 12 pages. Accepted for publication in Physics Letters B (PLB)

arxiv created 2012/07/15 · openalex publication_date 2012/07/20 · arxiv updated 2012/08/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider f(T) gravity for a Weitzenbock spherically symmetric and static spacetime, where the metric is projected in the tangent space to the manifold for a set of non-diagonal tetrads. The matter content is coupled through the energy momentum tensor of an anisotropic fluid, generating various classes of new black hole and wormhole solutions. One of these classes is that of cold black holes. We also perform the reconstruction scheme of the algebraic function f(T) for two cases where the radial pressure is proportional to f(T) and its first derivative.

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