Authors: A R ElNabulsi
Publish Date: 2013/04/27
Volume: 87, Issue: 8, Pages: 835-840
Abstract
In this work we reformulate the problem of chaotic inflation studied recently in the framework of nonminimal coupling to gravity within the context of Fractional Action Cosmology which belongs to the class of nonlocal theories of gravity and primarily for large value of the nonminimal coupling parameter xi We analyze during the slowroll inflation the field equations and we confront them with observations It has been observed that the inflation field is described by the potential Vphi approx xi2 phi2 v2 2 where v = sqrt 4left xi right mathordleft/ vphantom 4left xi right lambda + 4xi2 right kern0pt lambda + 4xi2 approx sqrt 1 mathordleft/ vphantom 1 left xi right right kern0pt left xi right and that for large value of the nonminimal coupling parameter left xi right the scale factor and the scalar field are finite at the origin of time and besides successful inflation is achieved The predicted values for the spectral index and tensorto scalar ratio are in concurrence within 1sigma of the current Wilkinson Microwave Anisotropy Probe measurements
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