Singularities in cosmologies with interacting fluids
Abstract
We study the dynamics near finite-time singularities of flat isotropic universes filled with two interacting but otherwise arbitrary perfect fluids. The overall dynamical picture reveals a variety of asymptotic solutions valid locally around the spacetime singularity. We find the attractor of all solutions with standard decay, and for `phantom' matter asymptotically at early times. We give a number of special asymptotic solutions describing universes collapsing to zero size and others ending at a big rip singularity. We also find a very complicated singularity corresponding with a logarithmic branch point that resembles of cyclic universe, and give an asymptotic local series representation of the general solution in the neighborhood of infinity.
Cite
@article{arxiv.1202.1407,
title = {Singularities in cosmologies with interacting fluids},
author = {Spiros Cotsakis and Georgia Kittou},
journal= {arXiv preprint arXiv:1202.1407},
year = {2015}
}
Comments
15 pages, matches version to appear in Phys.Lett.B., more references, derivation of main system added, various improvements