Possible fluid interpretation and tidal force equation on a generic null hypersurface in Einstein-Cartan theory

The dynamical evolution of the Hajicek 1-form is derived in Einstein-Cartan (EC) theory. We find that like Einstein theory gravity, equation related to a projected part tensor (${\stackrel{^}{G}}_{ab}$) on generic null surface $\mathcal{H}$, particularly ${\stackrel{^}{G}}_{ab}{l}^{a}{{q}^{b}}_{c}$, where ${l}^{a}$ and ${{q}^{a}}_{c}$ are outgoing generators $\mathcal{H}$ induced metric transverse spatial cross section respectively. Under geodesic constraint, possible fluid interpretation this then proposed. it has structure which reminiscent Cosserat generalization Navier-Stokes provided we express set coordinates adapted local inertial frame. An analogous viewpoint can also be built under motive usual material derivative for fluids should replaced by Lie derivative. Finally, tidal force EC derived.