Grand rip and grand bang/crunch cosmological singularities

  title={Grand rip and grand bang/crunch cosmological singularities},
  author={L. Fern'andez-Jambrina},
  journal={Physical Review D},
The present accelerated expansion of the Universe has enriched the list of possible scenarios for its fate, singular or not. In this paper a unifying framework for analyzing such behaviors is proposed, based on generalized power and asymptotic expansions of the barotropic index $w$, or equivalently of the deceleration parameter $q$, in terms of the time coordinate. Besides well-known singular and nonsingular future behaviors, other types of strong singularities appear around the phantom divide… 

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  • Lett. B 656, 9
  • 2007


  • Rev. D 74, 064030
  • 2006


  • Rev. D 85, 083001
  • 2012


  • Rev. D 84, 063003 (2011); P.H. Frampton, K.J. Ludwick, S. Nojiri, S.D. Odintsov, R.J. Scherrer, Phys. Lett. B 708, 204
  • 2012


  • Rev. Lett. 91
  • 2003


  • Lett. B 670, 254-258
  • 2009

) ; M . P . Da̧browski

  • Class . Quant . Grav .
  • 2004

WMAP Collaboration], Astrophys

  • J. Suppl
  • 2003

) ; M . P . Da̧browski , Phys . Rev . D 71 , 103505 ( 2005 ) ; L . P . Chimento , R . Lazkoz

  • Mod . Phys . Lett . A
  • 2004