Non-singular 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 non-singular 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;
- Space-Time Functions;
- Astronomical Models;
- Einstein Equations;
- Quantum Theory;
- Supergravity;
- Astrophysics