Detectors described by the geodesic lines deviation equation (the Synge equation), which we consider in this section, are known as "antennae built on free masses".

We have now obtained the exact solutions to the Synge equation (the geodesic lines deviation equation).

mu][nu]] and their derivatives: in collecting similar terms some of them will cancel out (the same situation arose when we made the same calculations for the geodesic lines deviation equation).

As Synge had deduced, a deviation of the geodesic line [GAMMA](v +dv) from the geodesic line [GAMMA](v) can be found as the solution of his obtained equation

If there are two free mass-bering particles, they fall freely along neighbour geodesic lines in a gravitational field.

Solving the null geodesic lines equations for this metric, we obtained in [1] that an anisotropy of the velocity of light exists in the z-direction.

Solving the non-null geodesic lines equations describing its motion, we obtained from formula (36)

alpha]] = 0), they move along neighbouring

geodesic lines, according to the geodesic equations of motion

More generally, the trajectories of the geodesic lines are determined by the metric which works in the geometrical structure used as a modeling metric space.

The navigable trajectories as great ellipse or great circle are the examples of geodesic lines on the spheroid and sphere, respectively.

Like

geodesic lines felt as gravity's force, when another person is close enough to be present face-to-face, we feel the "ethical force of gravity.