f(T) cosmology with nonzero curvature
Abstract
We investigate exact and analytic solutions in f(T) gravity within the context of a Friedmann-Lemaître-Robertson-Walker background space with nonzero spatial curvature. For the power-law theory f(T) = Tn we find that the field equations admit an exact solution with a linear scalar factor for negative and positive spatial curvature. That Milne-like solution is asymptotic behavior for the scale factor near the initial singularity for the model f(T) = T + f0Tn − 2Λ. The analytic solution for that specific theory is presented in terms of Painlevé series for n > 1. Moreover, from the value of the resonances of the Painlevé series we conclude that the Milne-like solution is always unstable while for large values of the independent parameter, the field equations provide an expanding universe with a de Sitter expansion of a positive cosmological constant. Finally, the presence of the cosmological term Λ in the studied f(T) model plays no role in the general behavior of the cosmological solution and the universe immerge in a de Sitter expansion either when the cosmological constant term Λ in the f(T) model vanishes.
- Publication:
-
Modern Physics Letters A
- Pub Date:
- December 2021
- DOI:
- 10.1142/S0217732321502618
- arXiv:
- arXiv:2107.00620
- Bibcode:
- 2021MPLA...3650261P
- Keywords:
-
- Teleparallel cosmology;
- exact solutions;
- open universe;
- 98.80.-k;
- 95.35.+d;
- 95.36.+x;
- Cosmology;
- Dark matter;
- Dark energy;
- General Relativity and Quantum Cosmology;
- Mathematical Physics
- E-Print:
- 13 pages, no figures, reference list updated