MG13 - Talk detail |
Participant |
Toporensky, Alexey | |||||||
Institution |
Sternberg Astronomical Institute - Universitetsky prospect, 13 - Moscow - Moscow - Russia | |||||||
Session |
GT2 |
Accepted |
Yes |
Order |
3 |
Time |
25' | |
Talk |
Oral abstract |
Title |
Asymptotic solution in f(R) gravity | |||||
Co-authors | E. Bukzhalev | |||||||
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. |
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