Observational tests of the conformal osculating Barthel-Kropina cosmological model

Abstract

We consider detailed cosmological tests of dark energy models obtained from the general conformal transformation of the Kropina metric, representing an $(\alpha ,\beta )$-type Finslerian geometry. In particular, we restrict our analysis to the osculating Barthel Kropina geometry. The Kropina metric function is defined as the ratio of the square of a Riemannian metric $\alpha$ and of the one-form $\beta$. In this framework, we also consider the role of the conformal transformations of the metric, which allows us to introduce a family of conformal Barthel-Kropina theories in an osculating geometry. The models obtained in this way are described by second-order field equations, in the presence of an effective scalar field induced by the conformal factor. The generalized Friedmann equations of the model are obtained by adopting for the Riemannian metric $\alpha$ the Friedmann Lemaitre Robertson Walker representation. In order to close the cosmological field equations, we assume a specific relationship between the component of the one-form $\beta$ and the conformal factor. With this assumption, the cosmological evolution is determined by the initial conditions of the scalar field and a single free parameter $\gamma$ of the model. The conformal Barthel Kropina cosmological models are compared against several observational datasets, including Cosmic Chronometers, Type Ia Supernovae, and Baryon Acoustic Oscillations, using a Markov Chain Monte Carlo (MCMC) analysis, which allows the determination of $\gamma$. A comparison with the predictions of standard $\Lambda$CDM model is also performed. {Our results indicate that the conformal osculating Barthel Kropina model can be considered as a successful, and simple, alternative to standard cosmological models.

25 pages, 5 figures, Published in Universe journal

References in corpus (29)

• In the Realm of the Hubble tension $-$ a Review of Solutions
• The Pantheon+ Analysis: Cosmological Constraints
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• The trouble with $H_0$
• PolyChord: nested sampling for cosmology
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• Why reducing the cosmic sound horizon alone can not fully resolve the Hubble tension
• Cosmological Particle Production: A Review
• Solution to the ghost problem in fourth order derivative theories
• Cosmographic Hubble fits to the supernova data
• Recombination-independent determination of the sound horizon and the Hubble constant from BAO
• Early-Universe-Physics Insensitive and Uncalibrated Cosmic Standards: Constraints on ${\Omega }_{\mathrm{m}}$ and Implications for the Hubble Tension
• Black hole solutions in the quadratic Weyl conformal geometric theory of gravity
• Dark matter as a Weyl geometric effect
• Non-metric geometry as the origin of mass in gauge theories of scale invariance
• Cosmological evolution and dark energy in osculating Barthel-Randers geometry
• Palatini formulation of the conformally invariant $f\left(R,L_m\right)$ gravity theory
• Cosmological tests of the osculating Barthel-Kropina dark energy model
• Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
• Coupling matter and curvature in Weyl geometry: conformally invariant $f\left(R,L_m\right)$ gravity
• Finsler-Randers-Sasaki gravity and cosmology
• Compact stellar structures in Weyl geometric gravity
• Schwarzschild-Finsler-Randers spacetime: Dynamical analysis, Geodesics and Deflection Angle
• Curvature-matter couplings in modified gravity: from linear models to conformally invariant theories
• Weyl geometric effects on the propagation of light in gravitational fields
• Renormalization Group for Non-minimal ${\varphi }^{2}R$ Couplings and Gravitational Contact Interactions
• Quantum scale invariance in gauge theories and applications to muon production
• Raychaudhuri equations, Tidal forces and Weak field Limit in Schwarzshild-Finsler-Randers spacetime