Teleparallel Gravity: An Overview

Abstract

The fundamentals of the teleparallel equivalent of general relativity are presented, and its main properties described. In particular, the field equations, the definition of an energy--momentum density for the gravitational field, the teleparallel version of the equivalence principle, and the dynamical role played by torsion as compared to the corresponding role played by curvature in general relativity, are discussed in some details.

10 pages, talk given at the IX Marcel Grossmann Meeting, Rome, Italy, July/2000, to appear in (the electronic version of) the Proceedings

Cited by in corpus (30)

• f(T) teleparallel gravity and cosmology
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• Gaussian processes and effective field theory of $f(T)$ gravity under the $H_0$ tension
• Generalized Noether symmetry in f(T) gravity
• Understanding the phenomenology of interacting dark energy scenarios and their theoretical bounds
• Teleparallel Gravity as a Higher Gauge Theory
• Static spherically symmetric black holes in weak f(T)-gravity
• The Teleparallel Equivalent of Newton-Cartan Gravity
• A Generalized Interacting Tsallis Holographic Dark Energy Model and its thermodynamic implications
• Rotating and non-rotating AdS black holes in $f(\mathcal{T})$ gravity non-linear electrodynamics
• Inhomogeneous Universe in f(T) Theory
• Absence of Relativistic Stars in f(T) Gravity
• Gauge coupling unification without leptoquarks
• Supergravity in Two Spacetime Dimensions
• Three-dimensional non-relativistic supergravity and torsion
• Goedel type solution in teleparallel gravity
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Schwarzschild solution on a space-time with torsion
• Different Approaches to the Einstein Energy Associated with the de Sitter C-Space-time
• Connecting connections
• Einsteinian Strengths and Dynamical Degrees of Freedom for Alternative Gravity Theories
• From colored gravity to electromagnetism
• Review of the Microscopic Approach to the Higgs Mechanism and to Quark and Lepton Masses and Mixings
• Topological charges and quasi-charges in Absolute Parallelism
• Bi-connected Gravity Fields
• Field Equations and Radial Solution in a Noncommutative Spherically Symmetric Geometry
• Massive Yang-Mills fields, translational and nonsemisimple gauge symmetry
• Is torsion needed in a theory of gravity? A reappraisal
• Quantum gravity: the Inverse problem
• A topological origin for Dark Energy