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Generalizations of teleparallel gravity and local Lorentz symmetry

Thomas P. Sotiriou1, Baojiu Li1,2, and John D. Barrow1

  • 1DAMTP, Centre for Mathematical Sciences, University of Cambridge, Cambridge CB3 0WA, UK
  • 2Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA, UK

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Phys. Rev. D 83, 104030 – Published 17 May, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.104030

Abstract

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.

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References (27)

  1. R. Weitzenbock, Invariance Theorie, Nordhoff, Groningen (Noordhoff, Groningen, 1923).
  2. A. Unzicker and T. Case, arXiv:physics/0503046.
  3. R. Aldrovandi and J. G. Pereira, An Introduction to Teleparallel Gravity, Instituto de Fisica Teorica, UNSEP, Sao Paulo (http://www.ift.unesp.br/gcg/tele.pdf).
  4. G. R. Bengochea and R. Ferraro, Phys. Rev. D 79, 124019 (2009).
  5. P. Wu and H. Yu, Phys. Lett. B 693, 415 (2010).
  6. R. Myrzakulov, arXiv:1006.1120.
  7. P. Yu. Tsyba, I. I. Kulnazarov, K. K. Yerzhanov, and R. Myrzakulov, arXiv:1008.0779.
  8. E. V. Linder, Phys. Rev. D 81, 127301 (2010).
  9. P. Wu and H. Yu, Eur. Phys. J. C 71, 1552 (2011).
  10. K. Bamba, C. Q. Geng, and C. C. Lee, arXiv:1008.4036.
  11. K. Bamba, C. Q. Geng, and C. C. Lee, J. Cosmol. Astropart. Phys. 08 (2010) 021.
  12. R. Myrzakulov, arXiv:1008.4486.
  13. P. Wu and H. Yu, Phys. Lett. B 692, 176 (2010).
  14. K. Karami and A. Abdolmaleki, arXiv:1009.2459.
  15. S. H. Chen, J. B. Dent, S. Dutta, and E. N. Saridakis, Phys. Rev. D 83, 023508 (2011).
  16. G. R. Bengochea, Phys. Lett. B 695, 405 (2011).
  17. R. J. Yang, Europhys. Lett. 93, 60001 (2011).
  18. R. Zheng and Q.-G. Huang, J. Cosmol. Astropart. Phys. 03 (2011) 002.
  19. K. Bamba, C. Q. Geng, C. C. Lee, and L.-W. Luo, J. Cosmol. Astropart. Phys. 01 (2011) 021.
  20. T. P. Sotiriou and J. D. Barrow, Phys. Rev. D 83, 104017 (2011).
  21. T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82, 451 (2010).
  22. B. Li, T. P. Sotiriou, and J. D. Barrow, Phys. Rev. D 83, 064035 (2011).
  23. C. H. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961).
  24. P. Teyssandier and Ph. Tourrenc, J. Math. Phys. (N.Y.) 24, 2793 (1983).
  25. J. D. Barrow, Nucl. Phys. B296, 697 (1988).
  26. J. D. Barrow and S. Cotsakis, Phys. Lett. B 214, 515 (1988).
  27. D. Wands, Classical Quantum Gravity 11, 269 (1994).

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Phys. Rev. D 83, 104030– Published 17 May, 2011
  • Received 27 January 2011

© 2011 American Physical Society

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