Introduction to teleparallel gravities

Abstract

We give a pedagogical introduction into the field of (modified) teleparallel theories of gravity. Our presentation is fairly self-contained. In particular, we carefully explain the basic principles of metric-affine approaches to gravity. This contribution is based on our talk "Teleparallel gravity, its modifications, and the local Lorentz invariance" at the 9th Mathematical Physics Meeting: School and Conference on Modern Mathematical Physics in Belgrade, September 2017.

16 pages; prepared for Proceedings of the 9th Mathematical Physics Meeting: School and Conference on Modern Mathematical Physics in Belgrade, September 2017

Cited by in corpus (10)

• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• Non-trivial Minkowski backgrounds in f(T) gravity
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• Parameterized post-Newtonian limit of general teleparallel gravity theories
• Einstein manifolds with torsion and nonmetricity
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• Post-Newtonian limit of scalar-torsion theories of gravity as analogue to scalar-curvature theories
• Lorentz symmetries and primary constraints in covariant teleparallel gravity
• Non-relativistic limit of gravity theories in the first order formalism