- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Phenomenological reconstruction of f(T) teleparallel gravity

W. El Hanafy*,† and G. G. L. Nashed‡

  • Centre for Theoretical Physics, the British University in Egypt, El Sherouk City 11837, Egypt

  • *waleed.elhanafy@bue.edu.eg
  • †Also at Egyptian Relativity Group, Cairo University, Giza 12613, Egypt.
  • ‡nashed@bue.edu.eg
PDF

Phys. Rev. D 100, 083535 – Published 23 October, 2019

DOI: https://doi.org/10.1103/PhysRevD.100.083535

Abstract

We present a novel reconstruction method of f(T) teleparallel gravity from phenomenological parametrizations of the deceleration parameter or other alternatives. This can be used as a toolkit to produce viable modified gravity scenarios directly related to cosmological observations. We test two parametrizations of the deceleration parameter considered in recent literatures in addition to one parametrization of the effective (total) equation of state (EoS) of the universe. We use the asymptotic behavior of the matter density parameter as an extra constraint to identify the viable range of the model parameters. One of the tested models shows how tiny modification can produce viable cosmic scenarios quantitatively similar to ΛCDM but qualitatively different whereas the dark energy (DE) sector becomes dynamical and fully explained by modified gravity not by a cosmological constant.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (57)

  1. A. G. Riess et al. (Supernova Search Team), Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron. J. 116, 1009 (1998).
  2. S. Perlmutter et al. (Supernova Cosmology Project), Measurements of omega and lambda from 42 high redshift supernovae, Astrophys. J. 517, 565 (1999).
  3. N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, arXiv:1807.06209.
  4. F. Beutler, C. Blake, M. Colless, D. H. Jones, L. Staveley-Smith, L. Campbell, Q. Parker, W. Saunders, and F. Watson, The 6dF Galaxy Survey: Baryon acoustic oscillations and the local Hubble constant, Mon. Not. R. Astron. Soc. 416, 3017 (2011).
  5. A. J. Ross, L. Samushia, C. Howlett, W. J. Percival, A. Burden, and M. Manera, The clustering of the SDSS DR7 main Galaxy sample I. A 4 per cent distance measure at z=0.15, Mon. Not. R. Astron. Soc. 449, 835 (2015).
  6. S. Alam et al. (BOSS Collaboration), The clustering of galaxies in the completed SDSS-III baryon oscillation spectroscopic survey: Cosmological analysis of the DR12 galaxy sample, Mon. Not. R. Astron. Soc. 470, 2617 (2017).
  7. M. Ata et al., The clustering of the SDSS-IV extended baryon oscillation spectroscopic survey DR14 quasar sample: First measurement of baryon acoustic oscillations between redshift 0.8 and 2.2, Mon. Not. R. Astron. Soc. 473, 4773 (2018).
  8. T. M. C. Abbott, Dark energy survey year 1 results: Measurement of the baryon acoustic oscillation scale in the distribution of galaxies to redshift 1, Mon. Not. R. Astron. Soc. 483, 4866 (2019).
  9. M. Colless et al. (2DFGRS Collaboration), The 2dF galaxy redshift survey: Spectra and redshifts, Mon. Not. R. Astron. Soc. 328, 1039 (2001).
  10. V. Sahni and A. Starobinsky, Reconstructing dark energy, Int. J. Mod. Phys. D 15, 2105 (2006).
  11. A. G. Riess et al. (Supernova Search Team), Type Ia supernova discoveries at z>1 from the Hubble Space Telescope: Evidence for past deceleration and constraints on dark energy evolution, Astrophys. J. 607, 665 (2004).
  12. J. V. Cunha and J. A. S. Lima, Transition Redshift: New kinematic constraints from supernovae, Mon. Not. R. Astron. Soc. 390, 210 (2008).
  13. J. V. Cunha, Kinematic constraints to the transition redshift from SNe Ia union data, Phys. Rev. D 79, 047301 (2009).
  14. B. Santos, J. C. Carvalho, and J. S. Alcaniz, Current constraints on the epoch of cosmic acceleration, Astropart. Phys. 35, 17 (2011).
  15. R. Nair, S. Jhingan, and D. Jain, Cosmokinetics: A joint analysis of standard candles, rulers and cosmic clocks, J. Cosmol. Astropart. Phys. 01 (2012) 018.
  16. A. A. Mamon and S. Das, A parametric reconstruction of the deceleration parameter, Eur. Phys. J. C 77, 495 (2017).
  17. A. A. Mamon, Constraints on a generalized deceleration parameter from cosmic chronometers, Mod. Phys. Lett. A 33, 1850056 (2018).
  18. A. Shafieloo, Model independent reconstruction of the expansion history of the universe and the properties of dark energy, Mon. Not. R. Astron. Soc. 380, 1573 (2007).
  19. T. Holsclaw, U. Alam, B. Sanso, H. Lee, K. Heitmann, S. Habib, and D. Higdon, Nonparametric reconstruction of the dark energy equation of state, Phys. Rev. D 82, 103502 (2010).
  20. T. Holsclaw, U. Alam, B. Sanso, H. Lee, K. Heitmann, S. Habib, and D. Higdon, Nonparametric reconstruction of the dark energy equation of state from diverse data sets, Phys. Rev. D 84, 083501 (2011).
  21. R. G. Crittenden, G.-B. Zhao, L. Pogosian, L. Samushia, and X. Zhang, Fables of reconstruction: Controlling bias in the dark energy equation of state, J. Cosmol. Astropart. Phys. 02 (2012) 048.
  22. R. Nair, S. Jhingan, and D. Jain, Exploring scalar field dynamics with Gaussian processes, J. Cosmol. Astropart. Phys. 01 (2014) 005.
  23. A. Al Mamon and S. Das, A divergence free parametrization of deceleration parameter for scalar field dark energy, Int. J. Mod. Phys. D 25, 1650032 (2016).
  24. A. Mukherjee, Acceleration of the universe: A reconstruction of the effective equation of state, Mon. Not. R. Astron. Soc. 460, 273 (2016).
  25. M. I. Wanas, Geometrical structures for cosmological applications, Astrophys. Space Sci. 127, 21 (1986).
  26. G. G. L. Nashed, Stability of the vacuum nonsingular black hole, Chaos Solitons Fractals 15, 841 (2003).
  27. M. I. Wanas, The other side of gravity and geometry: Antigravity and anticurvature, Adv. High Energy Phys. 2012, 752613 (2012).
  28. F. W. Hehl, J. D. McCrea, E. W. Mielke, and Y. Ne’eman, Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance, Phys. Rep. 258, 1 (1995).
  29. N. L. Youssef and A. M. Sid-Ahmed, Linear connections and curvature tensors in the geometry of parallelizable manifolds, Rep. Math. Phys. 60, 39 (2007).
  30. R. Aldrovandi and J. G. Pereira, Teleparallel Gravity (Springer, Dordrecht, 2013), Vol. 173.
  31. G. R. Bengochea and R. Ferraro, Dark torsion as the cosmic speed-up, Phys. Rev. D 79, 124019 (2009).
  32. E. V. Linder, Einstein’s other gravity and the acceleration of the Universe, Phys. Rev. D 81, 127301 (2010).
  33. K. Bamba, C.-Q. Geng, and C.-C. Lee, Comment on Einstein’s Other Gravity and the Acceleration of the Universe, arXiv:1008.4036.
  34. K. Bamba, C.-Q. Geng, C.-C. Lee, and L.-W. Luo, Equation of state for dark energy in f(T) gravity, J. Cosmol. Astropart. Phys. 01 (2011) 021.
  35. B. Li, T. P. Sotiriou, and J. D. Barrow, f(T) gravity and local Lorentz invariance, Phys. Rev. D 83, 064035 (2011).
  36. T. P. Sotiriou, B. Li, and J. D. Barrow, Generalizations of teleparallel gravity and local Lorentz symmetry, Phys. Rev. D 83, 104030 (2011).
  37. M. Krššák and E. N. Saridakis, The covariant formulation of f(T) gravity, Classical Quantum Gravity 33, 115009 (2016).
  38. L. Järv, M. Hohmann, M. Krăšák, and C. Pfeifer, Flat connection for rotating spacetimes in extended teleparallel gravity theories, Universe 5, 142 (2019).
  39. R. Ferraro and F. Fiorini, Modified teleparallel gravity: Inflation without inflaton, Phys. Rev. D 75, 084031 (2007).
  40. K. Bamba, G. G. L. Nashed, W. El Hanafy, and S. K. Ibraheem, Bounce inflation in f(T) cosmology: A unified inflaton-quintessence field, Phys. Rev. D 94, 083513 (2016).
  41. A. Awad, W. El Hanafy, G. G. L. Nashed, S. D. Odintsov, and V. K. Oikonomou, Constant-roll inflation in f(T) teleparallel gravity, J. Cosmol. Astropart. Phys. 07 (2018) 026.
  42. R. Myrzakulov, Accelerating universe from F(T) gravity, Eur. Phys. J. C 71, 1752 (2011).
  43. Y.-F. Cai, S.-H. Chen, J. B. Dent, S. Dutta, and E. N. Saridakis, Matter bounce cosmology with the f(T) gravity, Classical Quantum Gravity 28, 215011 (2011).
  44. J. de Haro and J. Amorós, Viability of the matter bounce scenario, J. Phys. Conf. Ser. 600, 012024 (2015).
  45. J. Haro and J. Amorós, Matter bounce scenario in F(T) gravity, Proc. Sci., FFP14 (2016) 163 [arXiv:1501.06270].
  46. W. El Hanafy and G. G. L. Nashed, Lorenz gauge fixing of f(T) teleparallel cosmology, Int. J. Mod. Phys. D 26, 1750154 (2017).
  47. Y.-F. Cai, S. Capozziello, M. De Laurentis, and E. N. Saridakis, f(T) teleparallel gravity and cosmology, Rep. Prog. Phys. 79, 106901 (2016).
  48. S. Nojiri, S. D. Odintsov, and V. K. Oikonomou, Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution, Phys. Rep. 692, 1 (2017).
  49. P. A. R. Ade et al. (Planck Collaboration), Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594, A13 (2016).
  50. S. Nesseris, S. Basilakos, E. N. Saridakis, and L. Perivolaropoulos, Viable f(T) models are practically indistinguishable from ΛCDM, Phys. Rev. D 88, 103010 (2013).
  51. E. Di Valentino, A. Melchiorri, and J. Silk, Beyond six parameters: Extending ΛCDM, Phys. Rev. D 92, 121302 (2015).
  52. E. Di Valentino, A. Melchiorri, and J. Silk, Reconciling Planck with the local value of H0 in extended parameter space, Phys. Lett. B 761, 242 (2016).
  53. G.-B. Zhao et al., Dynamical dark energy in light of the latest observations, Nat. Astron. 1, 627 (2017).
  54. A. El-Zant, W. El Hanafy, and S. Elgammal, H0 tension and the phantom regime: A case study in terms of an infrared f(T) gravity, Astrophys. J. 871, 210 (2019).
  55. R. C. Nunes, Structure formation in f(T) gravity and a solution for H0, J. Cosmol. Astropart. Phys. 05 (2018) 052.
  56. C. Escamilla-Rivera, J. L. Said, Cosmological viable models in f(T,B) gravity as solutions to the H0 tension,, arXiv:1909.10328.
  57. E. M. Barboza, Jr. and J. S. Alcaniz, A parametric model for dark energy, Phys. Lett. B 666, 415 (2008).

Outline

Information

Phys. Rev. D 100, 083535– Published 23 October, 2019
  • Received 5 July 2019
Crossmark - Check for updates button

© 2019 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation