f(T) Gravity and local Lorentz invariance

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

doi:10.1103/physrevd.83.064035

f(T) Gravity and local Lorentz invariance

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

Authors

Professor Baojiu Li baojiu.li@durham.ac.uk
Professor

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.

Citation

Li, B., Sotiriou, T., & Barrow, J. (2011). f(T) Gravity and local Lorentz invariance. Physical Review D, 83(6), Article 064035. https://doi.org/10.1103/physrevd.83.064035

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