Cosmological Model Druine by Universal Vorticity - (Without Dark Matter or Dark Energy) | Standard GR

Cosmological Model Druine by Universal Vorticity (MCDVU) The Cosmological Model Druine by Universal Vorticity (MCDVU) is an alternative cosmological framework formulated entirely within standard General Relativity. It describes a spatially homogeneous but anisotropic and rotating universe (Bianchi-type cosmology) containing only baryonic matter and radiation. No cold dark matter and no cosmological constant are introduced (Ω_cdm = 0, Λ = 0). Cosmic vorticity ω and residual shear σ modify the Friedmann and Raychaudhuri equations. The quadratic vorticity term ω² acts as an effective positive contribution that drives late-time accelerated expansion, thereby replacing the role traditionally assigned to dark energy: 3H² = 8πG ρ + ω² − σ² − 3k/a² ä/a = −(4πG/3)(ρ + 3p) + (1/3)(ω² − σ²) At galactic scales, the same cosmic rotation induces a gravitomagnetic (frame-dragging) effect that supplies the additional acceleration needed to produce flat rotation curves, eliminating the need for dark-matter halos: v²(r)/r = G M_b(r)/r² + 2 ω_cos v(r) The characteristic acceleration generated by this mechanism is: a_ω = 2 ω_cos c ≈ 1.2 × 10⁻⁸ cm s⁻² This value naturally coincides with the MOND acceleration scale a₀. The model recovers the classic Gödel relation ω² = 4πG ρ = −Λ_eff as an exact limiting case and remains compatible with current upper bounds on cosmic anisotropy from the CMB. While mathematically consistent, several observational challenges (baryon acoustic oscillations, large-scale structure growth, and the precise origin of primordial vorticity) remain open. In short, MCDVU shows that both the dark-energy and dark-matter phenomena can, in principle, emerge as purely geometric consequences of a rotating universe described by Einstein’s equations alone.