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Generalizations of teleparallel gravity and local Lorentz symmetry

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


T.P. Sotiriou

J.D. Barrow


We analyze the relation between teleparallelism and local Lorentz invariance. We show that generic modifications of the teleparallel equivalent to general relativity will not respect local Lorentz symmetry. We clarify the reasons for this and explain why the situation is different in general relativity. We give a prescription for constructing teleparallel equivalents for known theories. We also explicitly consider a recently proposed class of generalized teleparallel theories, called f(T) theories of gravity, and show why restoring local Lorentz symmetry in such theories cannot lead to sensible dynamics, even if one gives up teleparallelism.


Sotiriou, T., Li, B., & Barrow, J. (2011). Generalizations of teleparallel gravity and local Lorentz symmetry. Physical Review D, 83, Article 104030.

Journal Article Type Article
Publication Date May 17, 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
Article Number 104030


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