Constraints on generalized inflationary cosmologies

Physics – Nuclear Physics

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Scientific paper

We consider cosmologies having an inflationary period during which the Robertson-Walker scale factor is an arbitrary function of time satisfying R > 0 (not necessarily an exponential). We show that any such inflationary period will produce long-wavelength gravitational waves which can affect present observations of the microwave background. Using present bounds on the quadrupole anisotropy we derive constraints on general background. Using present bounds on the power law inflation (R ~ tp) are considered in detail and the maximum reheating temperature is given as a function of p. Finally, predictions for the anisotropy of the microwave background produced by gravitational waves generated by ordinary exponential inflation are presented.
Work supported in part by the US Department of Energy under contract no. DE-AC03-81-ER40050.

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