Gravitational Field Equation of the Weyl Space-Time

Based on the Bianchi identical relation of non-deflexion affine connection of the Wcyl spacetime,the gravitational field equation,is obtained in the Weyl spacetime,i.e.when the covariant derivative g_ij;k of the gauge tensor g_ij is equal to -φ_kg_ij and it is known that the Eintein's field equation is only one of the special cases of this equation.