https://doi.org/10.1140/epjp/i2015-15102-9
Regular Article
Fractional action oscillating phantom cosmology with conformal coupling
College of Mathematics and Information Science, Neijiang Normal University, 641112, Neijiang, Sichuan, China
* e-mail: nabulsiahmadrami@yahoo.fr
Received:
20
March
2015
Revised:
23
April
2015
Accepted:
2
May
2015
Published online:
2
June
2015
We study the late-time dynamics of a flat Friedmann-Robertson Walker universe in the context of a non-minimal fractional cosmology characterized by fractional weight in time. By considering the conformal coupling between the scalar field and gravity, a negative time-dependent quadratic potential and provided that the scale factor of the universe is related to the scalar field through a power-law ansatz, the universe is oscillating with time and the oscillating behavior of the EoS parameter can be realized around the magical value −1 by crossing the phantom divide line an infinite number of times. Some additional solutions are obtained and discussed accordingly.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015