Talk detail

Participant	Toporensky, Alexey
Institution	Sternberg Astronomical Institute - Universitetsky prospect, 13 - Moscow - Moscow - Russia

Session	GT2	Accepted		Order	Time
Talk	Oral abstract	Title	Asymptotic solution in f(R) gravity
Co-authors
Abstract	We consider dynamics of a FRW Universe with a perfect fluid of the form $p=(\gamma-1)\rho$ in a $f(R)$-gravity with $f=R+R^n$. An asymptotic solution describing unharmonic oscillations near classical Friedmann solution is constructed. Our solution generalizes the known one for $f=R+R^2$. It is known that this solution tends to the Friedmann solution only for $\gamma>0$. We show that corresponding critical value of $\gamma$ for an arbitrary $n$ is located in the interval $[-1/3, 0]$, tending to $1/3$ for $n \to \infty$. The role of nonstandard singularity which can destroy the solution under concideration is discussed.