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f(T) gravity and local Lorentz invariance.

Li, B. and Sotiriou, T.P. and Barrow, J.D. (2011) 'f(T) gravity and local Lorentz invariance.', Physical review D., 83 (6). 064035.


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.

Item Type:Article
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Publisher statement:© 2011 American Physical Society
Date accepted:No date available
Date deposited:No date available
Date of first online publication:March 2011
Date first made open access:No date available

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