Cosmological evolution in $f(T,B)$ gravity
Abstract
For the fourthorder teleparallel $f\left(T,B\right) $ theory of gravity, we investigate the cosmological evolution for the universe in the case of a spatially flat FriedmannLemaîtreRobertsonWalker background space. We focus on the case for which $f\left(T,B\right) $ is separable, that is, $f\left(T,B\right) _{,TB}=0$ and $f\left(T,B\right) $ is a nonlinear function on the scalars $T$ and $B$. For this fourthorder theory we use a Lagrange multiplier to introduce a scalar field function which attributes the higherorder derivatives. In order to perform the analysis of the dynamics we use dimensionless variables which allow the Hubble function to change sign. The stationary points of the dynamical system are investigated both in the finite and infinite regimes. The physical properties of the asymptotic solutions and their stability characteristics are discussed.
 Publication:

arXiv eprints
 Pub Date:
 June 2021
 arXiv:
 arXiv:2106.01137
 Bibcode:
 2021arXiv210601137P
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 18 pages, 6 compound figures