Conformal anomaly around the sudden singularity

Details Conformal anomaly around the sudden singularity Conformal anomaly around the sudden singularity

2010-08-03

arxiv.org/abs/1008.0664v1

Europhys.Lett.92:10004,2010

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 10 pages

Scientific paper

10.1209/0295-5075/92/10004

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 the modification of the sudden future singularity. In this paper, we investigate quantum corrections coming from conformal anomaly near the sudden future singularity. We conclude that when the equation of state is chosen to be $p=-\rho-A\rho^\alpha$, the conformal anomaly can transform the sudden singularity in the singularity of type III for any $\alpha> 1/2$ and in the singularity of the type I (the big rip) or the big crunch for $1/2<\alpha<3/2$.

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