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f(T)gravity and local Lorentz invariance
Open accessAbstract
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.
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Citations
Cited by
Bamba, K., Capozziello, S., Nojiri, S., & Odintsov, S. D. (2012) · Astrophysics and Space Science · doi:10.1007/s10509-012-1181-8 · Cited by 2,387
Generalizations of teleparallel gravity and local Lorentz symmetry
Sotiriou, T. P., Li, B., & Barrow, J. D. (2011) · Physical Review D · doi:10.1103/physrevd.83.104030 · Cited by 284
Self-citationDynamic properties of cyclic cosmologies
Pavlović, P., & Sossich, M. (2021) · Physical Review D · doi:10.1103/physrevd.103.023529 · Cited by 12
Metadata
- Authors
- Li, B., Sotiriou, T. P., & Barrow, J. D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2011-03-24
- Volume
- 83
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2131839868
- Cited by
- 501
- References
- 0
- FWCI
- 19.70
- Type
- journal article
- Language
- en
- Open access
- green
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- Li, B., Sotiriou, T. P., & Barrow, J. D. (2011). f(T)gravity and local Lorentz invariance. Physical Review D. https://doi.org/10.1103/physrevd.83.064035
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