Journal
PHYSICAL REVIEW D
Volume 94, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.94.023525
Keywords
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Funding
- FONDECYT Grant [3160121]
- STFC
- National Research Foundation of South Africa
- University of KwaZulu-Natal
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In the cosmological scenario in f(T) gravity, we find analytical solutions for an isotropic and homogeneous universe containing a dust fluid and radiation and for an empty anisotropic Bianchi I universe. The method that we apply is that of movable singularities of differential equations. For the isotropic universe, the solutions are expressed in terms of a Laurent expansion, while for the anisotropic universe we find a family of exact Kasner-like solutions in vacuum. Finally, we discuss when a nonlinear f(T)-gravity theory provides solutions for the teleparallel equivalence of general relativity and derive conditions for exact solutions of general relativity to solve the field equations of an f(T) theory.
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