Cartan approach to Teleparallel Equivalent to General Relativity: a review

Abstract

In previous works, questioning the mathematical nature of the connection in the translations gauge theory formulation of Teleparallel Equivalent to General Relativity (TEGR) Theory led us to propose a new formulation using a Cartan connection. In this review, we summarize the presentation of that proposal and discuss it from a gauge theoretic perspective.

arXiv commentFrom the (web)Teleparallel Gravity Workshop COSMOGRAV 2020 Tartu june 15-19. Revtex 9 pages

References in corpus (15)

• f(T) teleparallel gravity and cosmology
• Modified teleparallel gravity: inflation without inflaton
• Modified teleparallel theories of gravity
• Extended Gravity Cosmography
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Conformal symmetry and accelerating cosmology in teleparallel gravity
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• MacDowell-Mansouri gravity and Cartan geometry
• Gauge Structure of Teleparallel Gravity
• Conformally invariant teleparallel theories of gravity
• Teleparallel gravity (TEGR) as a gauge theory: Translation or Cartan connection?
• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• Conformal Teleparallel Theories and Weyl Geometry
• Teleparallel theory as a gauge theory of translations: comments and issues
• Geometrical Foundations of Cartan Gauge Gravity

Cited by in corpus (2)

• Conservation laws in gauge gravity theory
• Translation gauge field theory of gravity in Minkowski spacetime