reviewReports on Progress in PhysicsOct 24, 2022BRONZE OA

Teleparallel gravity: from theory to cosmology

SBSebastián BahamondeKFKonstantinos F. DialektopoulosCECelia Escamilla‐RiveraGFGabriel FarrugiaVGViktor Gakis

Tokyo Institute of Technology · University of Tartu · +8 more institutions

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Abstract

Teleparallel gravity (TG) has significantly increased in popularity in recent decades, bringing attention to Einstein's other theory of gravity. In this Review, we give a comprehensive introduction to how teleparallel geometry is developed as a gauge theory of translations together with all the other properties of gauge field theory. This relates the geometry to the broader metric-affine approach to forming gravitational theories where we describe a systematic way of constructing consistent teleparallel theories that respect certain physical conditions such as local Lorentz invariance. We first use TG to formulate a teleparallel equivalent of general relativity (GR) which is dynamically equivalent to GR but…

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Topics
Keywords
  • Physics
  • Cosmology
  • Theoretical physics
  • Mathematical physics
  • Gravitation
  • Classical mechanics
  • Astrophysics
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