Stability of the Kasner Universe in f(T) Gravity

Understand

$f(T)$ gravity offers an alternative context in which to consider gravitational interactions where torsion, rather than curvature, is the mechanism by which gravitation is communicated.

• We investigate the stability of the Kasner solution with several forms of the arbitrary lagrangian function examined within the $f(T)$ context.
• This is a Bianchi type--I vacuum solution with anisotropic expansion factors.
• In the $f(T)$ gravity setting, the solution must conform to a set of conditions in order to continue to be a vacuum solution of the generalized field equations.