Inflation and the conformal structure of higher-order gravity theories

Details Inflation and the conformal structure of higher-order gravity theories Inflation and the conformal structure of higher-order gravity theories

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phlb..214..515b&link_type=abstract

Physics Letters B, Volume 214, Issue 4, p. 515-518.

Physics

265

Scientific paper

We examine gravity theories derived from a gravitational lagrangian that is and analytic function ƒ;(R) of the scalar curvature R in a space-time of arbitrary dimension D. We show that they are conformally equivalent to general relativity plus a scalar-field matter source with a particular self-interaction potential. The general form of this potential is calculated to be V(ø) = 1/2[Rƒ;'(R)-ƒ;(R)][ƒ;'(R)]D/(2-D), where exp (ø) = [ƒ;' (R)]2/(D-2). Flat potentials arise as ø-->+∞ for polynomial lagrangians of leading order β whenever D = 2β. Several explicit examples are given and discussed with reference to inflation. We show how our results can lead to singularity theorems for gravity theories derived from a general lagrangian.

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