CDM epoch reconstruction from F(R, G) and modified GaussBonnet gravities

E Elizalde (1) , R Myrzakulov (2) , V V Obukhov (3) , D Sáez-Gómez (1)

1 ICE-CSIC - Institut de Ciencies de l'Espai [Barcelona]
2 Dept. Gen. Theor. Phys
3 Tomsk State Pedagogical University

Dark energy cosmology is considered in a modified Gauss-Bonnet model of gravity with and without a scalar field. It is shown that these generalizations of General Relativity endow it with a very rich cosmological structure: it may naturally lead to an effective cosmological constant, quintessence or phantom cosmic acceleration, with the possibility to describe the transition from a decelerating to an accelerating phase explicitly. It is demonstrated here that these modified GB and scalar-GB theories are perfectly viable as cosmological models. They can describe the ΛCDM cosmological era without any need for a cosmological constant. Specific properties of these theories of gravity in different particular cases, such as the de Sitter one, are studied.

Mots clés: 04.50.Kd; 95.36.+x; 98.80.-k

E Elizalde, R Myrzakulov, V V Obukhov, D Sáez-Gómez. CDM epoch reconstruction from F(R, G) and modified GaussBonnet gravities. Classical and Quantum Gravity, 2010, 27 (9), pp.95007. ⟨10.1088/0264-9381/27/9/095007⟩. ⟨hal-00591186⟩