Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-09-24
Phys.Rev.D83:023528,2011; Publisher-note D83:109902,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, 8 figures. Added two new sections (VI and VII) constraining the parameters and examining the evolution of the period
Scientific paper
10.1103/PhysRevD.83.023528 10.11
We examine the evolution of a universe comprising two interacting fluids, which interact via a term proportional to the product of their densities. In the case of two matter fluids it is shown that the ratio of the densities tends to a constant after an initial cooling-off period. We then obtain a complete solution for the cosmological constant (w = -1) scenario. Finally, we investigate the general case in which the dark energy equation of state is p = w*rho, where w is a constant, and show that periodic solutions can occur if w < -1. We further demonstrate that the ratio of the dark matter to dark energy densities is confined to a bounded interval, and that this ratio can be O(1) at infinitely many times in the history of the universe, thus solving the coincidence problem.
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