TITLE:
Kinetical Inflation and Quintessence by F-Harmonic Map
AUTHORS:
Antonin Kanfon, Dominique Lambert Lambert
KEYWORDS:
F-Harmonic Maps; Kinetical Inflation; Kinetical Quintessence
JOURNAL NAME:
Journal of Modern Physics,
Vol.3 No.11,
November
16,
2012
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.