This research studies the theoretical influence of the earth’s gravitational and rotation to the change in space and time. The flow of the ocean current will be described using the general relativity theory instead of the Newton’s laws of motion which is based on the Navier-Stokes equation in the Euclidean space. First, Kerr matrix is determined. The square of the angular momentum of the earth’s mass was found to be about 10⁻¹³ which identified the Kerr matrix as slow Kerr. With slow Kerr, matrix tensor in the geodesic equation can be reduced to the Schwarzschild matrix. The radius of the earth’s Schwarzschild was found to be about 9x10⁻³ which identified the gravitation field as weak field. Because the ocean current speed is many orders less than the speed of light, therefore, the geodesic equation can be reduced to the Newton’s equation of motion. (or the Navier-Stokes equation) in non-Euclidean space. And when the Ricci tensor values were found to be approximately zero, then the Navier-Stokes equation in non-Euclidian space can be reduced to the Navier-Stokes equation in the Euclidean space. Therefore, the presence of the earth’s gravitational and rotation do not have the effect on the four-dimensional space and time because the Earth’s rotation is rather slow and the earth’s of gravitational field is rather weak.
