Phantom k-essence cosmologies

Details Phantom k-essence cosmologies Phantom k-essence cosmologies

2004-03-05

arxiv.org/abs/astro-ph/0403157v1

Phys.Rev. D70 (2004) 023509

Astronomy and Astrophysics

Astrophysics

4 pages

Scientific paper

10.1103/PhysRevD.70.023509

We devise a method to obtain a phantom version of FRW k-essence cosmologies with homogeneous k-fields by applying form-invariance transformations. It can be seen that the transformation performs the maps $H\toH$ and $\rho+p\to-(\rho+p)$, which in turn give $\gamma\to\gamma$ and $a\to a^{-1}$. The discussion is presented in a general setup, valid for FRW k-essence cosmologies, and then we discuss power-law solutions for illustration purposes. First, we deal with models such that the gradient of the k-field is not constant, which include standard and generalized tachyon cosmologies. We concentrate on the usual tachyon and show the phantom symmetry involves a change in the potential and that it generates an extended super-accelerated tachyon field. Then, we turn our attention to models for which the time derivative of the k-field is not constant, and we show the transformation can be implemented without changing the potential at all.

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