Cosmological perfect fluids in Gauss-Bonnet gravity

Abstract

In an $n$-dimensional Friedmann-Robertson-Walker metric, it is rigorously shown that any analytical theory of gravity $f(R,\mathcal{G})$, where $R$ is the curvature scalar and $\mathcal{G}$ is the Gauss-Bonnet topological invariant, can be associated to a perfect-fluid stress-energy tensor. In this perspective, dark components of the cosmological Hubble flow can be geometrically interpreted.

arXiv comment8 pages, accepted for publication in International Journal of Geometric Methods in Modern Physics

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• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
• Cosmological perfect fluids in higher-order gravity
• Spherical and cylindrical solutions in f (T) gravity by Noether Symmetry Approach
• Emergent Universe from Energy-Momentum Squared Gravity
• Thermodynamical aspects of relativistic hydrodynamics in f(R,G) gravity
• Tracing the cosmic history by Gauss-Bonnet gravity
• Almost pseudo-Ricci symmetric spacetime solutions in $F(R)$-gravity
• Equivalence between Horndeski and beyond Horndeski theories and imperfect fluids
• On Curvature properties of Nariai Spacetimes
• An action principle for the Einstein-Weyl equations
• FLRW-Cosmology in Generic Gravity Theories
• Friedmann equations in the Codazzi parametrization of Cotton and extended theories of gravity and the Dark Sector
• How a conformally flat (GR)4 impacts Gauss-Bonnet gravity?
• Late-time Cosmology of scalar field assisted $f(\mathcal{G})$ gravity
• Impact of projective curvature tensor in $f\left(R,G\right)$, $f\left(R,T\right)$ and $f\left(R,L_m\right)$-gravity
• Friedmann's Universe Controlled by Gauss-Bonnet Modified Gravity
• Polyakov-like approach to the modified gravity and other geometric theories
• Stable exponential cosmological solutions with three factor spaces of dimensions $m=3$, $k_1=k$ and $k_2=k$ in the Einstein-Gauss-Bonnet model with a $\Lambda$-term