f(T) gravity and local Lorentz invariance

By Baojiu Li, T. Sotiriou, John D. Barrow. 2010

445 citations recorded by the source corpus.

We show that in theories of generalized teleparallel gravity, whose Lagrangians are algebraic functions of the usual teleparallel Lagrangian, the action and the field equations are not invariant under local Lorentz transformations. We also argue that these theories appear to have extra degrees of freedom with respect to general relativity. The usual teleparallel Lagrangian, which has been extensively studied and leads to a theory dynamically equivalent to general relativity, is an exception. Both of these facts appear to have been overlooked in the recent literature on f(T) gravity, but are crucial for assessing the viability of these theories as alternative explanations for the acceleration of the Universe.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cf22537b2b54c5b73855db3dfffc98fc5740156e

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Bouncing cosmology in f(Q) symmetric teleparallel gravity (2020, background): “[42] B.”