Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
Volume 20, Issue 9, Pages 1705-1712Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218271811019736
Keywords
k-essence; braneworld; cosmological singularities; extended tachyons
Categories
Funding
- University of Buenos Aires [X044]
- Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET) [5169]
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We investigate a k-essence field localized on the brane evolving linearly with the cosmological time for some kinetic functions and consider the atypical k-essence model for linear and nonlinear k-fields in Friedmann-Robertson-Walker (FRW) cosmology. In the former case the k-field is driven by an inverse quadratic polynomial potential and the solutions exhibit several different behaviors which include expanding, contracting and bouncing universes as well as a model with a finite time span, some of them ending in a big crunch or a big rip. In the latter case we find the potential and show that the atypical k-essence model is dynamically incomplete. Particularly, by selecting the extended tachyonic kinetic functions we analyze the high and low energy limits of our model, obtaining the nearly power-law solution. We introduce a tachyon field with negative energy density and show that the universe evolves between two singularities.
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