Origin of the angular momentum of filaments in the local Universe

Velocity gradients compatible with rotation have been reported across certain nearby cosmic filaments. We show that rotational momentum might be generated in filaments in the local Universe in the presence of a cosmological constant (local dark energy) based on the theorem stating the general function for the equivalence of the gravitational field of a sphere and that of a point mass. We investigated how the cosmological constant modifies the finite-time acquisition and retention of angular momentum in an open filamentary core. Although its isotropic force exerts no direct axial torque, rotational motion can be seeded by tidal interactions with surrounding matter and incoming streams. Early tidal torques establish an imbalance in axial angular momentum, while the subsequent orbit crossing amplifies the resulting rotation, and ultimately, the cosmological constant is able to modify tidal-mode growth and finite-time angular momentum delivery.