2016/06/30 by Andronikos Paliathanasis, John D. Barrow, P. G. L. Leach · 4 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Exact solutions in general relativity #General relativity #Gravitational singularity #Isotropy #Mathematical physics #Metric expansion of space #Physics #Quantum mechanics #Theoretical physics #Universe #astro-ph.CO #gr-qc
paper · pdf · doi:10.1103/physrevd.94.023525
published as Phys. Rev. D 94, 023525 (2016) · 13 pages, accepted for publication by Phys. Rev. D
openalex created_date 2016/06/24 · arxiv created 2016/07/14 · openalex publication_date 2016/07/28 · arxiv updated 2016/08/01 · openalex updated_date 2026/08/05
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.