Nonsingular de Sitter universe inR+R ^{2}2Λ gravity
Abstract
For the theory described by the actionS = int {(R + \varepsilon R^2  2Λ )} sqrt {  g} d^4 x and taking the FRW flat space metric we find an exact nonsingular de Sitter model universe exp(Λt ^{2}), withΛ =  tfrac{1}{{72}}\varepsilon . It is also proved that the standard general relativity de Sitter cosmologyexp (sqrt {tfrac{1}{3}Λ } t), Λ>0 is also a model of this higher derivative theory of gravity. If the metric is conformally flatS could describe a consistent quantum theory and its classical solutions would correspond to cosmological models in this theory.
 Publication:

Astrophysics and Space Science
 Pub Date:
 July 1992
 DOI:
 10.1007/BF01070204
 Bibcode:
 1992Ap&SS.193...95B
 Keywords:

 Cosmology;
 Gravitation Theory;
 Relativistic Theory;
 SpaceTime Functions;
 Astronomical Models;
 Einstein Equations;
 Quantum Theory;
 Supergravity;
 Astrophysics