Halo-like Scaling from Rotational Stresses in Relativistic Matter

A relativistic stress-energy configuration is identified in which halo-like scaling in galaxies can arise from the rotational sector of matter without modifying the Einstein equations. In stationary axisymmetric systems, the mixed stress-energy components associated with vorticity define a conserved Killing current describing angular-momentum transport. The corresponding stream potential admits a multipole structure in which the dominant odd mode controls the radial flux and fixes its asymptotic amplitude. If this transport channel approaches a finite large-radius flux, the leading mode scales as r^-2. With the Alena Tensor closure, the same rotational sector that carries this transport mode contributes to the active weak-field source through the rotational part of the stress-energy tensor, giving an effective density with the same radial scaling and therefore approximately flat rotation curves. The baryonic Tully-Fisher relation is treated here as a constraint on the asymptotic transport amplitude, not as a first-principles derivation. The resulting framework gives testable predictions for disk-aligned lensing anisotropy, residual correlations with baryonic angular momentum, and suppressed halo-like scaling in systems without coherent rotation.