Cosmological solutions in f(T) and modied teleparallel theories of gravity

CECILIA BEJARANO; MARÍA JOSÉ GUZMÁN; RAFAEL FERRARO

Taller; Summer School on Cosmology 2018; 2018

f(T) gravity, a kind of modified teleparallel theory of gravity, has attracted a lot of attention in the recent years due to its hability to predict an early accelerated expansion of the Universe without resorting to an inflaton field, and since it allows to smooth black-hole singularities for certain schemes. This theory is a generalization of the teleparallel equivalent of general relativity, a dynamical theory for the tetrad or vielbein, and it is based in the torsion of the Weitzenböck connection, describing a spacetime with zero curvature but non-vanishing torsion. This theory is not local Lorentz invariant; that is, the equations of motion are sensible to local Lorentz transformations of the tetrad in the tangent space. We will present recent findings concerning to McVittie and FLRW solutions and its relation with the additional degrees of freedom of the theory.