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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)

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