Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-12-15
JCAP 0603:010,2006
Astronomy and Astrophysics
Astrophysics
Corrections in Figure 2 and 3, new references added, no major change, conclusion remains the same. Accepted in JCAP
Scientific paper
10.1088/1475-7516/2006/03/010
We present a model independent method of reconstructing the Lagrangian for the k-essence field driving the present acceleration of the universe. We consider the simplest k-essence model for which the potential is constant. Later we use three parametrizations for the Hubble parameter $H(z)$, consistent with the recent SN1a data, to yield the Lagrangian $F$. Our reconstruction program does not generate any physically realistic Lagrangian for models that allow phantom crossing, whereas models without phantom crossing, yield well behaved Lagrangian.
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