When a body approaches a planet, it slows down along the time dimension because of denser space around the planet. Because energy is conserved there is a corresponding increase in speed in the space dimension, according to \( { v }_{ t }^{ 2 }+{ v }_{ s }^{ 2 }={ c }^{ 2 }\) (This is a scalar equation not a vector equation). Time speed decreases with increasing space density; space around a spherical planet compresses radially around it. The direction of decrease in time speed is towards the center of the planet. The direction of increase in speed in space is also towards the center of the planet. In this way the body experiences acceleration towards the center of the planet. An acceleration without applied force. The gravitational force is a misnomer, strictly speaking it does not exist. It is supposed to exist from observing gravity but logically it should be the cause of gravity and not be induced from gravity. Can gravity be without gravitational force? Yes.
Another way to think of this situation, is to image the body approaching the planet in a path through its center. As time speed slows, its speed in space increases in the direction towards the center of the planet. With any other approaches, the component of the body's velocity in space, in the direction towards the center of the planet, is affected by the increase in speed as a result of slowing time speed.
The point is, gravity is a vector pointing towards the region of denser space, irrespective of the direction of the velocity in space of the body experiencing gravity. This is the case as observed.
