Constructing Phantom Cosmologies from Standard Scalar Field Universes

Details Constructing Phantom Cosmologies from Standard Scalar Field Universes Constructing Phantom Cosmologies from Standard Scalar Field Universes

2003-07-28

arxiv.org/abs/gr-qc/0307111v2

Phys.Rev.Lett. 91 (2003) 211301

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, revtex4, new title and minor changes in the main text and references to match published version

Scientific paper

10.1103/PhysRevLett.91.211301

We illustrate how form-invariance transformations can be used for constructing phantom cosmologies from standard scalar field universes. First, we discuss how to relate two flat Friedmann-Robertson-Walker cosmologies with different barotropic indexes $\gamma$ and $\bar \gamma$. Then, we consider the particular case $\bar \gamma=-\gamma$, and we show that if the matter content is interpreted in terms of self-interacting scalar fields, then the corresponding transformation provides the link between a standard and a phantom cosmology. After that, we illustrate the method by considering models with exponential potentials. Finally, we also show that the mentioned duality persists even if the typical braneworld modifications to the Friedmann equation are considered.

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