Kinetical Inflation and Quintessence by F-Harmonic Map

Abstract

We were interested, along this work, in the phenomena of the quintessence and the inflation due to the F-harmonic maps, in other words, in the functions of the scalar field such as the exponential and trigo-harmonic maps. We showed that some F-harmonic map such as the trigonometric functions instead of the scalar field in the lagrangian, allow, in the absence of term of potential, reproduce the inflation. However, there are other F-harmonic maps such as exponential maps which can’t produce the inflation; the pressure and the density of this exponential harmonic field being both of the same sign. On the other hand, these exponential harmonic fields redraw well the phenomenon of the quintessence when the variation of these fields remains weak. The problem of coincidence, however remains.

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A. Kanfon and D. Lambert, "Kinetical Inflation and Quintessence by F-Harmonic Map," Journal of Modern Physics, Vol. 3 No. 11, 2012, pp. 1727-1731. doi: 10.4236/jmp.2012.311213.

Conflicts of Interest

The authors declare no conflicts of interest.

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