Built on

A. A. Starobinsky, Phys. Lett. B 91
1983
Earlier work this paper cites.
S. Rippl, H. van Elst, R. K. Tavakol and D. Taylor, Gen. Rel. Grav. 28
1996
Earlier work this paper cites.
A. G. Riess et al
1998
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Phys. Rev. D 68
2003
Earlier work this paper cites.
Stephen Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer, New York, 2003
2003
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Phys. Rev. D 74
2006
Earlier work this paper cites.
T. Gonzalez, G. Leon and I. Quiros, Class. Quant. Grav. 23
2006
Earlier work this paper cites.
S. Nojiri, S.D. Odintsov, eConf C0602061
2007
Earlier work this paper cites.
N. Goheer, J. A. Leach and P. K. S. Dunsby, Class. Quant. Grav. 24
Original
2007
Earlier work this paper cites.
J. C. C. de Souza and V. Faraoni, Class. Quant. Grav. 24
Original
2007
Earlier work this paper cites.
F. Briscese, E. Elizalde, S. Nojiri and S. D. Odintsov, Phys. Lett. B 646
2007
Earlier work this paper cites.
S. Capozziello, M. De Laurentis, Phys. Rept. 509
2010
Earlier work this paper cites.

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S. D. Odintsov and V. K. Oikonomou, Phys. Rev. D 92
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2015
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R. P. Woodard, Scholarpedia 10
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2015
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A. Alho, S. Carloni and C. Uggla, JCAP 1608
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2017

Autonomous Dynamical System Approach for $f(R)$ Gravity

Odintsov, S. D., Oikonomou, V. K.

Understand

In this work we shall investigate the cosmological dynamical system of $f(R)$ gravity, by constructing it in such a way so that it is rendered autonomous.

We shall study the vacuum $f(R)$ gravity case, but also the case that matter and radiation perfect fluids are present along with the $f(R)$ gravity.
The dynamical system is constructed in such a way so that the time-dependence of the system is contained in a single parameter which depends on the Hubble rate and it's second derivative.
The autonomous structure of the dynamical system is achieved when this parameter is constant, therefore we focus on these cases.

Built on

A. A. Starobinsky, Phys. Lett. B 91
1983
Earlier work this paper cites.
S. Rippl, H. van Elst, R. K. Tavakol and D. Taylor, Gen. Rel. Grav. 28
1996
Earlier work this paper cites.
A. G. Riess et al
1998
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Phys. Rev. D 68
2003
Earlier work this paper cites.
Stephen Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer, New York, 2003
2003
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Phys. Rev. D 74
2006
Earlier work this paper cites.
T. Gonzalez, G. Leon and I. Quiros, Class. Quant. Grav. 23
2006
Earlier work this paper cites.
S. Nojiri, S.D. Odintsov, eConf C0602061
2007
Earlier work this paper cites.
N. Goheer, J. A. Leach and P. K. S. Dunsby, Class. Quant. Grav. 24
Original
2007
Earlier work this paper cites.
J. C. C. de Souza and V. Faraoni, Class. Quant. Grav. 24
Original
2007
Earlier work this paper cites.
F. Briscese, E. Elizalde, S. Nojiri and S. D. Odintsov, Phys. Lett. B 646
2007
Earlier work this paper cites.
S. Capozziello, M. De Laurentis, Phys. Rept. 509
2010
Earlier work this paper cites.