Crossing the phantom divide with k-essence in brane-worlds

Details Crossing the phantom divide with k-essence in brane-worlds Crossing the phantom divide with k-essence in brane-worlds

2009-09-01

arxiv.org/abs/0909.0274v2

Mod.Phys.Lett.A25:2469-2481,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 5 figures. The article was fully rewritten. References added. Accepted for publication in MPLA (2010)

Scientific paper

We study a flat 3-brane in presence of a linear $k$ field with nonzero cosmological constant $\Lambda_{4}$. In this model the crossing of the phantom divide (PD) occurs when the $k$-essence energy density becomes negative. We show that in the high energy regime the effective equation of state has a resemblance of a modified Chaplygin gas while in the low energy regime it becomes linear. We find a scale factor that begins from a singularity and evolves to a de Sitter stable stage while other solutions have a super-accelerated regime and end with a big rip. We use the energy conditions to show when the effective equation of state of the brane-universe crosses the PD.

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