Sudden singularities survive massive quantum particle production

@article{Barrow2011SuddenSS,
  title={Sudden singularities survive massive quantum particle production},
  author={J. Barrow and A. B. Batista and G. Dito and J. Fabris and M. Houndjo},
  journal={Physical Review D},
  year={2011},
  volume={84},
  pages={123518}
}
We solve the Klein-Gordon equation for a massive, non-minimally coupled scalar field, with a conformal coupling, undergoing cosmological evolution from a radiation-dominated phase to a future sudden singularity. We show that, after regularisation, the energy of the created particles is zero and the back-reaction from quantum effects does not change the evolution of the universe near the future singularity and cannot prevent the finite-time sudden singularity. 
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References

SHOWING 1-10 OF 77 REFERENCES
Conformal anomaly around the sudden singularity
Quantum effects due to particle creation on a classical sudden singularity have been investigated in a previous work. The conclusion was that quantum effects do not lead to the avoidance nor theExpand
Quantum particle production at sudden singularities
We investigate the effects of quantum particle production on a classical sudden singularity occurring at finite time in a Friedmann universe. We use an exact solution to describe an initiallyExpand
More general sudden singularities
We present a general form for the solution of an expanding general-relativistic Friedmann universe that encounters a singularity at finite future time. The singularity occurs in the material pressureExpand
Quantum cosmology with a big-brake singularity
We investigate a cosmological model with a big-brake singularity in the future: while the first time derivative of the scale factor goes to zero, its second time derivative tends to minus infinity.Expand
A general sudden cosmological singularity
We construct an asymptotic series for a general solution of the Einstein equations near a sudden singularity. The solution is quasi isotropic and contains nine independent arbitrary functions of theExpand
Sudden future singularities in FLRW cosmologies
The standard energy conditions of classical general relativity are applied to FLRW cosmologies containing sudden future singularities. Here we show, in a model-independent way, that although suchExpand
Does the Big Rip survive quantization?
It is known that certain quantum cosmological models present quantum behavior for large scale factors. Since quantization can suppress past singularities, it is natural to inquire whether quantumExpand
Geodesic behavior of sudden future singularities
In this paper we analyze the effect of recently proposed classes of sudden future singularities on causal geodesics of FLRW spacetimes. Geodesics are shown to be extendible and just the equations forExpand
Particle creation and vacuum polarization of a non-conformal scalar field near the isotropic cosmological singularity
The effects of particle creation and vacuum polarization in an external gravitational field offer one possibility to attack certain problems of classical cosmology such as the occurrence of particleExpand
Quantum effects near the big rip revisited
Quantum effects near a big rip singularity have been investigated previously, with the conclusion that the energy due to these quantum effects decreases as the future singularity is approached.Expand
...
1
2
3
4
5
...