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f(T) Gravity and local Lorentz invariance

Li, B.; Sotiriou, T.P.; Barrow, J.D.

Authors

T.P. Sotiriou

J.D. Barrow



Abstract

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.

Journal Article Type Article
Publication Date Mar 24, 2011
Deposit Date Jan 20, 2012
Publicly Available Date Jul 16, 2014
Journal Physical Review D
Print ISSN 1550-7998
Electronic ISSN 1550-2368
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 83
Issue 6
Article Number 064035
DOI https://doi.org/10.1103/physrevd.83.064035
Public URL https://durham-repository.worktribe.com/output/1530801

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