Neutron stars are relativistic objects because they have strong gravity that can carry out the accretion process. The assumption of this research is accretion material in the equatorial plane. This assumption affects the metrics used. The metric with these assumptions formulates the basis vector, velocity vector-4, angular velocity, Killing vector, and Lorentz gamma factor. The general relativistic conservation equation for mass requires all these quantities. The mass accretion rate of the slowly rotating neutron star is covariant with the Kerr black hole. Accretion material distance and accretion flow radial rate affect accretion mass rate. The mass accretion rate of the neutron star slowly rotating as a function of radial, while the rapidly rotating is a function of radial and polar.

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