Past-instability conjecture and cosmological attractors in generalized isotropic universes

Details Past-instability conjecture and cosmological attractors in generalized isotropic universes Past-instability conjecture and cosmological attractors in generalized isotropic universes

Apr 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrvd..51.4160c&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 51, Issue 8, 15 April 1995, pp.4160-4167

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We conjecture that all homogeneous and isotropic physically reasonable cosmological solutions of general relativity theory are in general past unstable in the generalized framework of higher order gravity theories. In this respect we provide a detailed perturbation analysis of the most interesting of these solutions and find that the results support our conjecture. We show that, in general, radiation solutions of higher order gravity are nonperturbative (bouncing or singular) as we approach the singularity in the past. A well-known flat radiation solution of quadratic gravity is shown not to be an attractor as t-->0. We prove that the quasiexponential phase in higher order gravity theories cannot be an attractor to solutions which may describe a preinflationary stage in these theories. However, this last conclusion may be altered if additional conditions are imposed and this situation is similar to the stability properties of the Starobinski inflationary solution. Other examples of a nongeneric-type in acordance with our conjecture are discussed and these include the Milne universe.

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