Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities

2012
42 pages
Published in:
  • Gen.Rel.Grav. 44 (2012) 1321-1356
e-Print:
Report number:
  • YITP-11-46

Citations per year

201120142017202020230246810
Abstract: (arXiv)
We investigate de Sitter solutions in non-local gravity as well as in non-local gravity with Lagrange constraint multiplier. We examine a condition to avoid a ghost and discuss a screening scenario for a cosmological constant in de Sitter solutions. Furthermore, we explicitly demonstrate that three types of the finite-time future singularities can occur in non-local gravity and explore their properties. In addition, we evaluate the effective equation of state for the universe and show that the late-time accelerating universe may be effectively the quintessence, cosmological constant or phantom-like phases. In particular, it is found that there is a case in which a crossing of the phantom divide from the non-phantom (quintessence) phase to the phantom one can be realized when a finite-time future singularity occurs. Moreover, it is demonstrated that the addition of an R2R^2 term can cure the finite-time future singularities in non-local gravity. It is also suggested that in the framework of non-local gravity, adding an R2R^2 term leads to possible unification of the early-time inflation with the late-time cosmic acceleration.
Note:
  • 42 pages, no figure, version accepted for publication in General Relativity and Gravitation
  • 04.50.Kd
  • 95.36.+x
  • 98.80.-k
  • Modified theories of gravity
  • Dark energy
  • Cosmology
  • gravitation: nonlocal
  • expansion: acceleration
  • cosmological constant: screening
  • phantom: crossing