Radial Motion in a Gravitational Potential According to Mass Equivalence and Energy Conservation
Journal of Progressive Research in Modern Physics and Chemistry
The radial behavior of a particle in a gravitational potential according to special relativity is described considering the equivalence of inertial and gravitational mass with a conservative energy. The radial velocity of a particle falling from rest contains a term, in addition to that expected classically, which would appear to weaken the effect of gravity at high velocities. The result for the radial acceleration is that the masses of all falling objects eventually become entirely kinematic with a speed reaching the speed of light at one-half the Schwarzschild radius. The analysis supports a formulation for gravity that is Lorentz covariant and is compared with general relativity, which contains a similar additional term to low-order approximation which predicts an even greater effect.
Masnovi, John, "Radial Motion in a Gravitational Potential According to Mass Equivalence and Energy Conservation" (2017). Chemistry Faculty Publications. 464.