Geometrical Constraints on Dark Energy

Details Geometrical Constraints on Dark Energy Geometrical Constraints on Dark Energy

2004-06-17

arxiv.org/abs/astro-ph/0406407v2

Astron.Astrophys. 430 (2005) 399-410

Astronomy and Astrophysics

Astrophysics

v2, 14 pages, 18 figures. Added references, better figures. Submitted to A&A

Scientific paper

10.1051/0004-6361:20041590

We explore the recently introduced statefinder parameters. After reviewing their basic properties, we calculate the statefinder parameters for a variety of cosmological models, and investigate their usefulness as a means of theoretical classification of dark energy models. We then go on to consider their use in obtaining constraints on dark energy from present and future supernovae type Ia data sets. Provided that the statefinder parameters can be extracted unambiguously from the data, they give a good visual impression of where the correct model should lie. However, it is non-trivial to extract the statefinders from the data in a model-independent way, and one of our results indicates that an expansion of the dark energy density to second order in the redshift is inadequate. Hence, while a useful theoretical and visual tool, applying the statefinders to observations is not straightforward.

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