Teleparallelism: A New Insight Into Gravity

Abstract

Teleparallel gravity, a gauge theory for the translation group, turns up as fully equivalent to Einstein's general relativity. In spite of 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 purpose of this chapter is to explore some of these concepts, as well as discuss possible consequences for gravitation, mainly those that could be relevant for the quantization of the gravitational field.

Chapter to appear in "Handbook of Spacetime", edited by A. Ashtekar and V. Petcov (Springer, Berlin, 2013). V2: misprints corrected, references updated

References in corpus (4)

• Translation of Einstein's Attempt of a Unified Field Theory with Teleparallelism
• Hodge Dual for Soldered Bundles
• de Sitter Relativity and Quantum Physics
• Bringing Together Gravity and the Quanta

Cited by in corpus (15)

• $f(T,\mathcal{T})$ gravity and cosmology
• Scaling attractors in interacting teleparallel dark energy
• Cosmological dynamics of tachyonic teleparallel dark energy
• Cosmological viable models in $f(T,B)$ gravity as solutions to the $H_0$ tension
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• General relativity as an attractor for scalar-torsion cosmology
• Dynamical systems analysis in $f(T,\varphi )$ gravity
• The Teleparallel Equivalent of Newton-Cartan Gravity
• A novel teleparallel dark energy model
• Connection independent formulation of general relativity
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Spherically symmetric vacuum solutions in 1-Parameter New General Relativity and their phenomenology
• Post-Newtonian Description of Quantum Systems in Gravitational Fields
• Reduction to first order of the Hamiltonian Constraint of General Relativity