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 phi considered by Fakir and Unruh by means of the observed cosmic microwave background radiation (CMBR) anisotropy. This model is characterized by the condition xi>1 and psi=8 pi G xi phi(2) much greater than 1 where xi 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 lambda/xi(2), 1.8 x 10(-8)/psi(i), where lambda is the self-coupling and psi(i) means the initial value of psi. Combining this with the previously obtained constraint root lambda/xi(2)approximate to(delta T/T)(rms) = 1.1 x 10(-5), we conclude that the initial value has to be psi(i) approximate to 1.6 x 10(3). If the self-coupling has reasonable values of order 10(-2), then xi approximate to 10(4) and phi(i) approximate to 10(-1) m(Pl) where m(Pl) is the Planck mass. [S0556-2821(98)05614-8].