Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem

By G. Cognola, E. Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov, Sergio Zerbini. 2005

623 citations recorded by the source corpus.

Dark energy cosmology is considered in a modified Gauss-Bonnet (GB) model of gravity where an arbitrary function of the GB invariant, f(G), is added to the general relativity action. We show that a theory of this kind is endowed with a quite rich cosmological structure: it may naturally lead to an effective cosmological constant, quintessence, or phantom cosmic acceleration, with a possibility for the transition from deceleration to acceleration. It is demonstrated in the paper that this theory is perfectly viable, since it is compliant with the solar system constraints. Specific properties of f(G) gravity in a de Sitter (dS) universe, such as dS and SdS solutions, their entropy, and its explicit one-loop quantization are studied. The issue of a possible solution of the hierarchy problem in modified gravities is also addressed.

View Paper: https://www.semanticscholar.org/paper/9610364eb022589cad38fa813b57d8520f676e8a

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Citations in the corpus

Fourth order gravity: Equations, history, and applications to cosmology (2006, background): “Now, 16 years later, one can prove the correctness of this prediction by looking at references [63-99], [102], [ 105- 109 ] which are all deal with a variant of fourth order gravity or its equivalents and its cosmological consequences and which is still far from being complete.”
f(R) Theories Of Gravity (2008, unknown): “In fact, since we have traced the root of some of 30 However, one could consider adding a function of the Gauss–Bonnet invariant G = R2 − 4RµνRµν − RαβµνR αβµν (Cognola et al., 2006; Nojiri and Odintsov, 2005).”
Modified Gravity and Cosmology (2011, background): “The cosmologies of these theories, and theories with inverse powers of αĜ+βR added to the Einstein-Hilbert action (where α and β are constants), have been considered in [391, 979], while the FLRW solutions of other R+f(Ĝ) theories have been considered in [971, 323].”