On Particles Creation and Renormalization in a Cosmological Model with a Big Rip

Abstract

An exact solution is obtained for a massive scalar field conformally coupled with the curvature in a cosmological model with the scale factor $a(t)=a_0/|t|$, corresponding to background matter with the equation of state $p=-5\epsilon /3$. An expression for the number density of created particles is obtained, and its behavior is studies as the model approached the instant of a Big Rip. Renormalization of the energy-momentum tensor is considered, and it is shown that back reaction of the quantum effects of a conformally coupled scalar field on the space-time metric can be neglected if the field mass is much smaller than the Planck mass and if the time left to the Big Rip is greater than the Planck time.

4 pages, 2 figures

References in corpus (2)

• Do active galactic nuclei convert dark matter into visible particles?
• Particle Production in an expanding universe dominated by dark energy fluid

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• Quantum particle production near the big rip revisited
• Transition between phantom and non-phantom phases with time dependent cosmological constant and Cardy-Verlinde formula
• Particle creation in flat FRW Universe in the framework of $f(T)$ gravity
• Quantum effects from particle production on background evolution and Cardy-Verlinde formula in f(R) gravity