Inertia Instead of Halo. Not So Dark with Alena Tensor

Alena Tensor is a recently discovered class of energy-momentum tensors that proposes a general equivalence of the curved path and geodesic for analyzed spacetimes which allows the analysis of physical systems in curvilinear (GR), classical and quantum descriptions. This paper demonstrates that extending the existing dust description to a form that provides a full matter energy-momentum tensor in GR naturally leads to the development of a halo effect for continuum media. This result provides a good approximation of the galaxy rotation curve for approximately 100 analyzed objects from the SPARC database and allows for further adjustments dependent on anisotropy and energy flux. In the resulting picture, matter density is responsible for the increase in rotation velocity, and the resulting rotational energy is responsible for maintaining it. The cumulative effect keeps matter outside the standard geodesic, and the trajectory of motion and lensing effects depend on both the rest masses and the obtained rotational energy. The model also provides the possibility of a classical description based on standard vacuum equations.