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\(O\left( d,d\right) \) symmetry in teleparallel dark energy

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Abstract

An important characteristic of the dilaton cosmological model is the Gasperini–Veneziano duality transformation which follows from the existence of the \(O\left( d,d\right) \) symmetry. In this study, we consider the equivalent dilaton theory in teleparallel dark energy with the \(O\left( d,d\right) \) symmetry, while the equivalent teleparallel-duality transformation is presented. The classical solution of the field equations is derived. Finally, the Wheeler–DeWitt equation of quantum cosmology is discussed.

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References

  1. G. Veneziano, Phys. Lett. B 265, 287 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  2. M. Gasperini, G. Veneziano, Astropart. Phys. 1, 317 (1993)

    Article  ADS  Google Scholar 

  3. T.H. Buscher, Phys. Lett. B 194, 59 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  4. T.H. Buscher, Phys. Lett. B 201, 466 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  5. C. Brans, R.H. Dicke, Phys. Rev. 124, 925 (1961)

    Article  ADS  MathSciNet  Google Scholar 

  6. A. Paliathanasis, S. Capozziello, Mod. Phys. Lett. A 31, 1650183 (2016)

    Article  ADS  Google Scholar 

  7. G. Veneziano, Nucl. Phys. B (Proc. Suppl.) 55B, 134 (1997)

  8. L. McAllister, E. Silverstein, Gen. Rel. Grav. 40, 565 (2008)

    Article  ADS  Google Scholar 

  9. M. Gasperini, G. Veneziano, Il Nuovo Cimento C 38, 160 (2015)

    ADS  Google Scholar 

  10. A.A. Kehagias, A. Lukas, Nucl. Phys. B 447, 549 (1996)

    Article  ADS  Google Scholar 

  11. G. Gionti, A. Paliathanasis, Mod. Phys. Lett. A 33, 1850093 (2018)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. S.I. Nojiri, S.D. Odintsov, IJGMMP 4, 115 (2007)

    Google Scholar 

  14. T. Harko, F.S.N. Lobo, S. Nojiri, S.D. Odintsov, Phys. Rev. D 84, 024020 (2011)

    Article  ADS  Google Scholar 

  15. S. Nojiri, S.D. Odintsov, Phys. Rev. D 74, 086005 (2005)

    Article  ADS  Google Scholar 

  16. W. Khyllep, A. Paliathanasis, J. Dutta, Cosmological solutions and growth index of matter perturbations in \(f\left( Q\right) \) gravity (2021). arXiv:2103.08372

  17. S. Nojiri, S.D. Odintsov, V.K. Oikonomou, Phys. Rep. 692, 1 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  18. A. Paliathanasis, J.D. Barrow, P.G.L. Leach, Phys. Rev. D 94, 023525 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  19. M. Caruana, G. Farrugia, J.L. Said, EPJC 80, 640 (2020)

    Article  ADS  Google Scholar 

  20. A.A. Starobinsky, Phys. Lett. B 91, 99 (1980)

    Article  ADS  Google Scholar 

  21. T. Clifton, P.G. Ferreira, A. Padila, C. Skordis, Phys. Rep. 513, 1 (2012)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  23. E. Di Valentino, O. Mean, S. Pan, L. Visinelli, W. Yang, A. Melchiorri, D.F. Mota, A.G. Riess , J. Silk, In the realm of the hubble tension—a review of solutions (2021). arXiv:2103.01183

  24. R.C. Nunes, JCAP 05, 052 (2018)

    Article  ADS  Google Scholar 

  25. A. Einstein, 1928, Sitz. Preuss. Akad. Wiss. p. 217; ibid p. 224 [Translated by A. Unzicker and T. Case, (preprint arXiv: physics/0503046)]

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

    Article  ADS  MathSciNet  Google Scholar 

  27. M. Tsamparlis, Phys. Lett. A 75, 27 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  28. H.I. Arcos, J.G. Pereira, Int. J. Mod. Phys. D 13, 2193 (2004)

    Article  ADS  Google Scholar 

  29. M. Skugoreva, E.N. Saridakis, A. Toporensky, Phys. Rev. D 91, 044023 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  30. M. Hohmann, Phys. Rev. D 98, 064002 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  31. M. Hohmann, C. Pfeifer, Phys. Rev. D 98, 064003 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  32. M. Hohmann, Phys. Rev. D 98, 064004 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  33. W. Wright, Phys. Rev. D 93, 103002 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  34. A. Paliathanasis, JCAP 08, 027 (2017)

    Article  ADS  Google Scholar 

  35. T.P. Sotiriou, J. Phys. Conf. Ser. 189, 012039 (2009)

    Article  Google Scholar 

  36. H. Wei, Phys. Lett. B 712, 430 (2012)

    Article  ADS  Google Scholar 

  37. C. Hu, E.N. Saridakis, G. Leon, JCAP 07, 005 (2012)

    Google Scholar 

  38. G. Otalora, JCAP 07, 044 (2013)

    Article  ADS  Google Scholar 

  39. C.-Q. Geng, C.-C. Lei, E.N. Saridakis, JCAP 01, 002 (2012)

    Article  ADS  Google Scholar 

  40. R. D’Agostino, O. Luongo, Phys. Rev. D 98, 124013 (2018)

  41. Y. Kucukakca, EPJC 74, 3086 (2014)

    Article  ADS  Google Scholar 

  42. G. Otalora, Int. J. Mod. Phys. D 25, 1650025 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  43. D. Mattingly, Liv. Rev. Relativ. 8, 5 (2005)

    Article  ADS  Google Scholar 

  44. B.S. De Witt, Phys. Rev. 160, 1113 (1967)

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Authors and Affiliations

  1. Institute of Systems Science, Durban University of Technology, Durban, 4000, South Africa

    Andronikos Paliathanasis

  2. Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, 5090000, Valdivia, Chile

    Andronikos Paliathanasis

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  1. Andronikos Paliathanasis
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Correspondence to Andronikos Paliathanasis.

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Paliathanasis, A. \(O\left( d,d\right) \) symmetry in teleparallel dark energy. Eur. Phys. J. Plus 136, 674 (2021). https://doi.org/10.1140/epjp/s13360-021-01666-8

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01666-8

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