Year: 2017
Type: article
Abstract: We present a class of cosmological solutions for a generalized teleparallel gravity with f ( T )= T + (− T ) n , where is some parameter and n is an integer or half-integer. Choosing ∼ G n −1 , where G is the gravitational constant, and working with an equation of state p = w ρ, one obtains a cosmological solution with multiple branches. The dynamics of the solution describes standard cosmology at late times, but the higher-torsion correction changes the nature of the initial singularity from big bang to a sudden singularity. The milder behavior of the sudden singularity enables us to extend timelike or lightlike curves, through joining two disconnected branches of solution at the singularity, leaving the singularity traversable. We show that this extension is consistent with the field equations through checking the known junction conditions for generalized teleparallel gravity. This suggests that these solutions describe a contracting phase a prior to the expanding phase of the universe.
Authors: Adel Awad, Gamal Nashed
Institutions: Ain Shams University, British University in Egypt
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Award: G2603861430
OpenAlex ID: W2994378102
