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The Gravitational Potential and the Gravitational Force According to the Correct Reissner-Nordstr?m, Kerr and Kerr-Newman Metrics

DOI: 10.4236/jmp.2025.161003, PP. 52-92

Keywords: General Theory of Relativity, Schwarzschild, Reissner-Nordstr?m, Kerr, Kerr-Newman, Metric, Gravitational Potential, Gravitational Force, Orbital Motion

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Abstract:

In a recent article, we have corrected the traditional derivation of the Schwarzschild metric, thus obtaining the formulation of the correct Schwarzschild metric, which is different from the traditional Schwarzschild metric. Then, in another article by starting from this correct Schwarzschild metric, we have corrected also the Reissner-Nordstr?m, Kerr and Kerr-Newman metrics. On the other hand, in a third article, always by starting from this correct Schwarzschild metric, we have obtained the formulas of the correct gravitational potential and of the correct gravitational force in the case described by this metric. Now, in this article, by starting from these correct Reissner-Nordstr?m, Kerr and Kerr-Newman metrics and proceeding in a manner analogous to this third article, we obtain the formulas of the correct gravitational potential and of the correct gravitational force in the cases described by these metrics. Moreover, we analyze these correct results and their consequences. Finally, we propose some possible crucial experiments between the commonly accepted theory and the same theory corrected according to this article.

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