Starting from the equation of motion (7.73), derive the relativistic analog of the virial...

Starting from the equation of motion (7.73), derive the relativistic analog of the virial theorem, which states that for motions bounded in space and such that the velocities involved do not approach indefinitely close to c, then

where L0 is the form the Lagrangian takes in the absence of external forces. Note that although neither L0 nor T corresponds exactly to the kinetic energy in nonrelativistic mechanics, their sum, L + T, plays the same role as twice the kinetic energy in the nonrelativistic virial theorem, Eq. (3.26).