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Cosmological Solutions of $f(T)$ Gravity

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arxiv 1606.00659 v2 pith:PQOTGCIQ submitted 2016-06-02 gr-qc astro-ph.CO

classification gr-qcastro-ph.CO
keywords solutionsuniversegravityanisotropiccosmologicalequationsexactfind
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abstract

In the cosmological scenario in $f\left( T\right) $ 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\left( T\right) $-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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics

    gr-qc 2024-11 conditional novelty 4.0 of 10

    The authors derive a family of charged black hole metrics in f(R,T)=R+βT gravity with Lagrangian L=f0+F+αF^p, show they have curvature singularities at the origin, and use the Sgr A* shadow to place weak upper bounds ...

  2. Bayesian and Machine-Learning Analyses of Nonminimal $f(Q)$ Gravity and $H_0$ Tension

    gr-qc 2025-11 reject novelty 3.0 of 10

    A nonminimal f(Q) gravity model fitted to CC, DESI BAO and three supernova samples gives H0 ≈ 68 km/s/Mpc, similar to ΛCDM, and is disfavored by BIC.

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