Constraints on the chaotic inflationary scenario with a nonminimally coupled “inflaton” field from the cosmic microwave background radiation anisotropy

We investigate the possibility to restrict the chaotic inflationary scenario with the large nonminimally coupled inflaton field considered by Fakir and Unruh by means of the observed cosmic microwave background radiation (CMBR) anisotropy. This model is characterized by the condition >1 and 8^21 where is the nonminimal coupling constant. We calculate the contributions of the long wavelength gravitational waves generated in the inflationary period to the CMBR anisotropy quadrupole moment. We obtain the constraint /^2=1. 810^-8/₈, where is the self-coupling and ₈ means the initial value of. Combining this with the previously obtained constraint /{^2} (T/T) ₑ₌ₒ=1. 110^-5, we conclude that the initial value has to be ₈1. 610^3. If the self-coupling has reasonable values of order 10^-2, then 10^4 and ₈10^-1m₏₋ where m₏₋ is the Planck mass.