Cosmological test of a length-preserving biconnection gravity

Abstract

We investigate the cosmological implications of an extended gravitational framework based on biconnection gravity, constructed from the Schr$\ddot{o}$dinger connection and its dual. In this approach, the difference between the two connections defines the mutual curvature, which encodes the non-Riemannian geometric degrees of freedom, while their symmetric combination reduces to the Levi-Civita connection and hence reproduces general relativity at the background level. Within this setting, we derive the generalized Friedmann equations for a spatially flat Friedmann-Lemaître-Robertson-Walker Universe. The resulting equations contain additional geometric contributions that may naturally encode an effective dark energy sector induced by the biconnection degrees of freedom. We explore this extra dark energy by adopting five commonly used parametrizations, namely B$\Lambda$CDM, $\omega$CDM, Chevallier-Polarski-Linder, Barboza-Alcaniz, and a logarithmic equations of state. These considerations are confronted with recent observational data, including DESI DR2, Pantheon${}^{+}$, and CC observations. Our analysis shows that the four parameterizations enter the acceleration phase at almost the same redshifts and share the same current value of the Hubble rate. Furthermore, the statistical comparison based on the Akaike, Bayesian, and Deviance Information Criterion shows that Barboza-Alcaniz, and logarithmic parameterizations have strong evidence and are competitive with $\Lambda$CDM. To classify this biconnection gravity in the plethora theoretical models describing the current cosmic acceleration, we examine its implications through cosmographic tools, including the deceleration, jerk, and snap parameters, as well as through the Statefinder analysis and $Om(z)$ diagnostic.

Published in Eur. Phys. J. C 86, 440 (2026)

References in corpus (21)

• f(R,T) gravity
• Cosmology and the Fate of Dilatation Symmetry
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• The Pantheon+ Analysis: Cosmological Constraints
• Two new diagnostics of dark energy
• f(R,L_m) gravity
• Aspects of the cosmological "coincidence problem"
• A parametric model for dark energy
• The little sibling of the big rip singularity
• A new null diagnostic customized for reconstructing the properties of dark energy from BAO data
• Non-metric geometry as the origin of mass in gauge theories of scale invariance
• Cosmological tests of the osculating Barthel-Kropina dark energy model
• Is the Cosmological Coincidence a Problem?
• Smoothing the $H_0$ tension with a dynamical dark energy model
• Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
• Is Dark Energy Dynamical in the DESI Era? A Critical Review
• Schrödinger connection with selfdual nonmetricity vector in 2+1 dimensions
• Spontaneous "Scalar-Vector Galileons" from "Weyl bi-Connection" model
• Cosmological implications of the Weyl geometric gravity theory
• Length-preserving biconnection gravity and its cosmological implications
• Bi-Connected Gauss-Bonnet Gravity