Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-10-04
Grav.Cosmol.14:140-146,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex file, 14 pages, 1 figure in EPS format
Scientific paper
10.1134/S0202289308020035
We investigate the fate of particle production in an expanding universe dominated by a perfect fluid with equation of state $p = \alpha\rho$. The rate of particle production, using the Bogolioubov coefficients, are determined exactly for any value of $\alpha$ in the case of a flat universe. When the strong energy condition is satisfied, the rate of particle production decreases as time goes on, in agreement to the fact that the four-dimensional curvature decreases with the expansion; the opposite occurs when the strong energy condition is violated. In the phantomic case, the rate of particle production diverges in a finite time. This may lead to a backreaction effect, leading to the avoidance of the big rip singularity, specially if $- 1 > \alpha > - {5/3}$.
Batista Antonio Brasil
Fabris Julio Cesar
Houndjo Stephane
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