Physics
Scientific paper
May 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phlb..222...12p&link_type=abstract
Physics Letters B, Volume 222, Issue 1, p. 12-17.
Physics
17
Scientific paper
We consider the four-dimensional theory of induced gravity L=sqrt(-g)(1/2ɛφ2R+1/2φkφk-V(φ)+R2). Here R is the Ricci scalar, φ is a scalar field and ɛ is a dimensionless coupling parameter, and under certain circusstances the potential V(φ) and the higher-derivative terms R2 are ignorable. The field equations for a Friedman-RRobertson-Walker universe then admit the solution a=A(tc-t)-q, φ=B(tc-t)(3q+1)/2, where q=q(ɛ)>0, which describes a pole-law inflation of the scale factor a(t). (In the case V=0, R2=0, ɛ=D/4(D-1), the L is the dimensionally reduced version of the (4+D)-dimensional vacuum Einstein theory L=√-ĝR, and the corresponding solution has been given by one of us (D.S)). We discuss the cosmological constraints upon the model and its self-consistency, and point out that an arbitrarily high reheating temperature can be achieved, whilst only moderate (~10-3) fine-tuning of the parameter ɛ is required. The Coleman-Weinberg potential entails an unacceptable degree of fine-tuning, unless it somehow ``switches on'' at or near the end of the phase of super-exponential inflation. But a potential of the form V=1/2m2(φ2-φ02) could be used to construct a viable model if m<~10-5mpl.
Pollock M. D.
Sahdev Deshdeep
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