Teleparallelism: a different insight of gravity

RAFAEL FERRARO; MARÍA JOSÉ GUZMÁN MONSALVE

Congreso; 1st Colombia-ICRANet Julio Garavito Armero Meeting; 2015

Teleparallel gravity, a gauge theory for the translation group, turns up to be fully equivalent to general relativity. Due to this equivalence, it provides a whole new insight into gravitation. It breaks several paradigms related to the geometric approach of general relativity, and introduces new concepts in the description of the gravitational interaction. The action that describes this theory depends on the torsion scalar T, which differs from the Ricci scalar by a surface term. This scalar is made up of the Weitzenböck connection, which depends only in the only dynamical field in the theory: the tetrad field. In this work we will review the internal consistency of the theory through the Hamiltonian formalism, and we will present an extension of this theory: modified teleparallel gravity (best known as f(T) gravity), and its main accomplishments in cosmology, together with black hole solutions.