Reconstructing K-essence

Abstract

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.

Corrections in Figure 2 and 3, new references added, no major change, conclusion remains the same. Accepted in JCAP

References in corpus (2)

• Cosmology and the Fate of Dilatation Symmetry
• Can dark energy evolve to the Phantom?

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