Abstract
We study Barrow's method for the case of a complex scalar field and presentexact solutions to Einstein's equations. There are two results from theinvestigation of these solutions. First, the complex fields give usan inflationary cosmology with a natural exit as distinct from models witha real inflaton. Second, the complex inflaton leads to very small inflation.We suppose that a satisfactory model may contain two scalar fields: onereal and one complex. The real field (the inflaton)must lead to power-law inflation and the complex field(the `anti-inflaton')must lead to exit from inflation. So the complex scalar field can be usefulin the hybrid models as the field that triggers the end of inflation.
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