Future singularity avoidance in phantom dark energy models

Apr, 2012
4 pages
Published in:
  • JCAP 07 (2012) 007
e-Print:

Citations per year

201220152018202120233201
Abstract: (arXiv)
Different approaches to quantum cosmology are studied in order to deal with the future singularity avoidance problem. Our results show that these future singularities will persist but could take different forms. As an example we have studied the big rip which appear when one considers the state equation P=ωρP=\omega\rho with ω<1\omega<-1, showing that it does not disappear in modified gravity. On the other hand, it is well-known that quantum geometric effects (holonomy corrections) in loop quantum cosmology introduce a quadratic modification, namely proportional to ρ2\rho^2, in Friedmann's equation that replace the big rip by a non-singular bounce. However this modified Friedmann equation could have been obtained in an inconsistent way, what means that the obtained results from this equation, in particular singularity avoidance, would be incorrect. In fact, we will show that instead of a non-singular bounce, the big rip singularity would be replaced, in loop quantum cosmology, by other kind of singularity.
Note:
  • Accepted for publication in JCAP
  • 98.80.Qc
  • 04.62.+v
  • 04.20.Dw
  • quantum cosmology: loop space
  • singularity: big rip
  • dark energy: phantom
  • quantum geometry
  • gravitation: model
  • Friedman model
  • bounce