Topological invariant quintessence

Abstract

The issues of quintessence and cosmic acceleration can be discussed in the framework of $F(R,\mathcal{G})$ theories of gravity where $R$ is the Ricci curvature scalar and $\mathcal{G}$ is the Gauss-Bonnet topological invariant. It is possible to show that such an approach exhausts all the curvature content related to the Riemann tensor giving rise to a fully geometric approach to dark energy.

arXiv comment8 pages

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Cited by in corpus (12)

• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• Constraining $f(R)$ gravity by the Large Scale Structure
• Dynamical analysis on $f(R,\mathcal{G})$ cosmology
• Observational constraints on Gauss-Bonnet cosmology
• Noether Symmetry Approach for teleparallel-curvature cosmology
• Tracing the cosmic history by Gauss-Bonnet gravity
• Exact spherically symmetric solutions in modified Gauss-Bonnet gravity from Noether symmetry approach
• Noether's stars in $f(\mathcal{R})$ gravity
• The emission of Gamma Ray Bursts as a test-bed for modified gravity
• Late cosmic acceleration in a vector--Gauss-Bonnet gravity model
• Cosmology with higher-derivative matter fields