Diego Saez-Gomez
Diego Saez-Gomez
Diego Saez-Gomez
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(z = 0) = H 0 = 100 hkms −1 Mpc −1 ,h=0.71 ± 0.03 (5)<br />
)= κ2<br />
2<br />
Scalar-tensor representation of<br />
f(r) gravity<br />
ρ m<br />
H 0 (1 + z)h(z) , → H (0) = κ2<br />
ρ 0 m = 3 2H 0 2 Ω0 m . (6)<br />
Hu-Sawicki model<br />
H (0) 0 (7)<br />
Phase space<br />
Cosmological evolution in viable modified gravity<br />
Ω m (z) , Ω f(R) (z) (8)<br />
1.2<br />
V + (φ) V − (φ) (9)<br />
2.0<br />
1.1<br />
1.0<br />
1.5<br />
H 2 H 0<br />
2<br />
0.9<br />
0.8<br />
H 2 H 0<br />
2<br />
1.0<br />
0.7<br />
0.5<br />
0.6<br />
0.5<br />
0.65 0.70 0.75 0.80 0.85 0.90<br />
There is a an asymptotic focus, which corresponds to a stable de Sitter solution.<br />
(a)<br />
Φ<br />
0.0<br />
0.0 0.5 1.0<br />
(b)<br />
Φ<br />
DSG, Class.Quant.Grav. 30 095008 (2013)<br />
Figure 8: Phase space of the HS model (panel 8a), and the NO model (8b)<br />
G. Cognola, E. Elizalde, S. D. Odintsov, P. Tretyakov, and S. Zerbini, Phys. Rev. D 79 044001 (2009)