Deformed Weitzenböck Connections and Teleparallel Gravity

Abstract

We study conditions on a generic connection written in terms of first-order derivatives of the vielbein in order to obtain (possible) equivalent theories to Einstein Gravity. We derive the equations of motion for these theories which are based on the new connections. We recover the Teleparallel Gravity equations of motion as a particular case. The analysis of this work might be useful to Double Field Theory to find other connections determined in terms of the physical fields.

9 pages. The full content of this article can be found in the published version "Deformed Weitzenbock Connections and Double Field Theory'' [arXiv:1807.01144 [hep-th]]

References in corpus (7)

• f(T) teleparallel gravity and cosmology
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Cosmological Solutions of $f(T)$ Gravity
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Cited by in corpus (1)

• Nonmetricity formulation of general relativity and its scalar-tensor extension