Geometric Perfect Fluids from Extended Gravity

Abstract

A main issue in cosmology and astrophysics is whether the dark sector phenomenology originates from particle physics, then requiring the detection of new fundamental components, or it can be addressed by modifying General Relativity. Extended Theories of Gravity are possible candidates aimed in framing dark energy and dark matter in a comprehensive geometric view. Considering the concept of perfect scalars, we show that the field equations of such theories naturally contain perfect fluid terms. Specific examples are developed for the Friedman-Lemaître-Roberson-Walker metric.

arXiv comment7 pages, accepted for publication in Europhysics Letters

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• Gödel-type universes in energy-momentum-squared gravity
• Constraints on cosmological parameters and CMB first acoustic peak in conformal Killing 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
• Conformal Killing Gravity: New Constraints from DESI DR2 BAO datasets