Cosmological dynamics of R^n gravity

Details Cosmological dynamics of R^n gravity Cosmological dynamics of R^n gravity

2004-10-11

arxiv.org/abs/gr-qc/0410046v4

Class.Quant.Grav.22:4839-4868,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

revised and extended version, 35 pages, 12 tables, 14 figures which are not included and can be found at http://www.mth.uct.ac

Scientific paper

10.1088/0264-9381/22/22/011

A detailed analysis of dynamics of cosmological models based on $R^{n}$ gravity is presented. We show that the cosmological equations can be written as a first order autonomous system and analyzed using the standard techniques of dynamical system theory. In absence of perfect fluid matter, we find exact solutions whose behavior and stability are analyzed in terms of the values of the parameter $n$. When matter is introduced, the nature of the (non-minimal) coupling between matter and higher order gravity induces restrictions on the allowed values of $n$. Selecting such intervals of values and following the same procedure used in the vacuum case, we present exact solutions and analyze their stability for a generic value of the parameter $n$. From this analysis emerges the result that for a large set of initial conditions an accelerated expansion is an attractor for the evolution of the $R^n$ cosmology. When matter is present a transient almost-Friedman phase can also be present before the transition to an accelerated expansion.

Affiliated with

Also associated with

No associations

Rating

Cosmological dynamics of R^n gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cosmological dynamics of R^n gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cosmological dynamics of R^n gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-714598