ΛCDM epoch reconstruction from F(R, G) and modified Gauss–Bonnet gravities

By E. Elizalde, Ratbay Myrzakulov, V. Obukhov, Diego S'aez-G'omez. 2010

235 citations recorded by the source corpus.

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 of describing 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. The specific properties of these theories of gravity in different particular cases, such as the de Sitter one, are studied.

View Paper: https://www.semanticscholar.org/paper/1a022b97e80f8bb05ad8fb062fbb12932f643726

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f(R) Theories (2010, background): “8 There are several works about the background cosmological dynamics for some f(R,G) models [15, 14, 229].”