Abstract
The violation of energy conservation law is a death sentence for the General Relativity Theory (GRT). This paper investigates the correctness of the General Relativity Theory by studying the energy conservation during the relativistic free fall of a small test body in a uniform gravitational field. The paper compares predictions of energy conservation obtained from the GRT and from the Metric Theory of Gravity (MTG). It is found that the gravitational mass dependence on velocity in the GRT is not correct, because this dependency leads to a prediction of violation of energy conservation while the MTG having a different gravitational mass dependency on velocity predicts correctly the energy conservation.
Highlights
The theories describing the free fall motion in a uniform gravitational field of a test body are well understood in both; the General Relativity Theory (GRT) and the Metric Theory of Gravity (MTG)
The theories describing the free fall motion in a uniform gravitational field of a test body are well understood in both; the GRT and the MTG
It is simple for both theories to derive equations describing the free fall velocity and from that the energy of a test body that falls in a uniform gravitational field that possesses the curved space-time metric
Summary
The theories describing the free fall motion in a uniform gravitational field of a test body are well understood in both; the GRT and the MTG. In the GRT the inertial mass and the gravitational mass are assumed identical with identical dependencies on velocity. In the MTG, on the other hand, the gravitational mass depends on velocity differently than the inertial mass (Hynecek, 2005, 2017). It is simple for both theories to derive equations describing the free fall velocity and from that the energy of a test body that falls in a uniform gravitational field that possesses the curved space-time metric
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