Singularities in cosmologies with interacting fluids

Details Singularities in cosmologies with interacting fluids Singularities in cosmologies with interacting fluids

2012-02-07

arxiv.org/abs/1202.1407v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, matches version to appear in Phys.Lett.B., more references, derivation of main system added, various improvements

Scientific paper

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.

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