The missing-mass problem

Summary

A new field equation is proposed, associated to anS ₃×R ₁ topology. We introduce a differential involutive mappingA which links any point of space σ to the antipodal regionA(σ). According to this equation, the geometry of the manifold depends both on the energy-momentum tensorT and on the antipodal tensorA(T). Considering time-independent metric with low fields and small velocities, we derive the associated Poisson equation, which provides cluster-like structures interacting with halo-like antipodal structures. The second structure helps the confinement of the first. It is suggested that this model could explain the missing-mass effect and the large-scale structure of the Universe.