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Einstein static universe in exponential f(T) gravity

  • Regular Article - Theoretical Physics
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Abstract

We analyze the stability of the Einstein static closed and open universe in two types of exponential f(T) gravity theory. We show that stable solutions exist in these two models. In particular, we find that large regions of parameter space in equation of state w=p/ρ for the stable universe are allowed in the f(T) theories.

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References

  1. G.F.R. Ellis, R. Maartens, Class. Quantum Gravity 21, 233 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. F.W. Hehl, P. Von Der Heyde, G.D. Kerlick, J.M. Nester, Rev. Mod. Phys. 48, 393 (1976)

    Article  ADS  Google Scholar 

  3. K. Hayashi, T. Shirafuji, Phys. Rev. D 19, 3524 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  4. E.E. Flanagan, E. Rosenthal, Phys. Rev. D 75, 124016 (2007)

    Article  ADS  Google Scholar 

  5. J. Garecki, arXiv:1010.2654 [gr-qc]

  6. C.Q. Geng, C.C. Lee, E.N. Saridakis, Y.P. Wu, Phys. Lett. B 704, 384 (2011)

    Article  ADS  Google Scholar 

  7. C.Q. Geng, C.C. Lee, E.N. Saridakis, J. Cosmol. Astropart. Phys. 1201, 002 (2012)

    Article  ADS  Google Scholar 

  8. K. Bamba, C.Q. Geng, L.W. Luo, J. Cosmol. Astropart. Phys. 1210, 058 (2012)

    Article  ADS  Google Scholar 

  9. Y.P. Wu, C.Q. Geng, Phys. Rev. D 86, 104058 (2012)

    Article  ADS  Google Scholar 

  10. Y.P. Wu, C.Q. Geng, J. High Energy Phys. 1211, 142 (2012)

    Article  ADS  Google Scholar 

  11. J.A. Gu, C.C. Lee, C.Q. Geng, Phys. Lett. B 718, 722 (2013)

    Article  ADS  Google Scholar 

  12. C.Q. Geng, Y.P. Wu, arXiv:1212.6214 [astro-ph.CO]

  13. A. Einstein, Sitz.ber. Preuss. Akad. Wiss. Phys. Math. Kl. 217 (1928)

  14. G.R. Bengochea, R. Ferraro, Phys. Rev. D 79, 124019 (2009)

    Article  ADS  Google Scholar 

  15. E.V. Linder, Phys. Rev. D 81, 127301 (2010). [Erratum ibid. 82, 109902 (2010)]

    Article  ADS  Google Scholar 

  16. K. Bamba, C.Q. Geng, C.C. Lee, arXiv:1008.4036 [astro-ph.CO]

  17. P. Wu, H.W. Yu, Eur. Phys. J. C 71, 1552 (2011)

    Article  ADS  Google Scholar 

  18. K. Bamba, C.Q. Geng, C.C. Lee, L.W. Luo, J. Cosmol. Astropart. Phys. 1101, 021 (2011)

    Article  ADS  Google Scholar 

  19. R. Ferraro, F. Fiorini, Int. J. Mod. Phys. Conf. Ser. 3, 227 (2011)

    Article  Google Scholar 

  20. R. Ferraro, F. Fiorini, Phys. Rev. D 75, 084031 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  21. R. Ferraro, F. Fiorini, Phys. Rev. D 78, 124019 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  22. B. Li, T.P. Sotirious, J.D. Barrow, Phys. Rev. D 83, 064035 (2011)

    Article  ADS  Google Scholar 

  23. T.P. Sotirious, B. Li, J.D. Barrow, Phys. Rev. D 83, 104030 (2011)

    Article  ADS  Google Scholar 

  24. J.D. Barrow, G.F.R. Ellis, R. Maartens, C.G. Tsagas, Class. Quantum Gravity 20, L155 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. J.D. Barrow, D. Kimberly, J. Magueijo, Class. Quantum Gravity 21, 4289 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. J.D. Barrow, C.G. Tsagas, Class. Quantum Gravity 26, 195003 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  27. C.G. Boehmer, L. Hollenstein, F.S.N. Lobo, Phys. Rev. D 76, 084005 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  28. S.S. Seahra, C.G. Boehmer, Phys. Rev. D 79, 064009 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  29. C.G. Boehmer, F.S.N. Lobo, Phys. Rev. D 79, 067504 (2009)

    Article  ADS  Google Scholar 

  30. S. Carneiro, R. Tavakol, Phys. Rev. D 80, 043528 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  31. C.G. Boehmer, F.S.N. Lobo, Eur. Phys. J. C 70, 1111 (2010)

    Article  ADS  Google Scholar 

  32. P. Wu, H.W. Yu, Phys. Rev. D 81, 103522 (2010)

    Article  ADS  Google Scholar 

  33. C.G. Boehmer, L. Hollenstein, F.S.N. Lobo, S.S. Seahra, arXiv:1001.1266 [gr-qc]

  34. R. Canonico, L. Parisi, Phys. Rev. D 82, 064005 (2010)

    Article  ADS  Google Scholar 

  35. J.D. Barrow, K. Yamamoto, Phys. Rev. D 85, 083505 (2012)

    Article  ADS  Google Scholar 

  36. K. Zhang, P. Wu, H.W. Yu, Phys. Lett. B 690, 229 (2010)

    Article  ADS  Google Scholar 

  37. P. Wu, H. Yu, Phys. Lett. B 703, 223 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  38. R. Ferraro, F. Fiorini, Phys. Lett. B 702, 75 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  39. S. Carneiro, R. Tavakol, Phys. Rev. D 80, 043528 (2009)

    Article  MathSciNet  ADS  Google Scholar 

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Acknowledgements

We are grateful to Professor Ling-Fong Li for reading the manuscript. The work was supported in part by National Center for Theoretical Science and National Science Council (NSC-98-2112-M-007-008-MY3 and NSC-101-2112-M-007-006-MY3) of R.O.C.

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Authors and Affiliations

  1. Department of Physics, National Tsing Hua University, Hsinchu, 300, Taiwan

    Jung-Tsung Li, Chung-Chi Lee & Chao-Qiang Geng

  2. Physics Division, National Center for Theoretical Sciences, Hsinchu, 300, Taiwan

    Jung-Tsung Li, Chung-Chi Lee & Chao-Qiang Geng

Authors
  1. Jung-Tsung Li
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  2. Chung-Chi Lee
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  3. Chao-Qiang Geng
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Correspondence to Chao-Qiang Geng.

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Li, JT., Lee, CC. & Geng, CQ. Einstein static universe in exponential f(T) gravity. Eur. Phys. J. C 73, 2315 (2013). https://doi.org/10.1140/epjc/s10052-013-2315-z

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  • DOI: https://doi.org/10.1140/epjc/s10052-013-2315-z

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