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The Correct Schwarzschild, Reissner-Nordstr?m, Kerr and Kerr-Newman Metrics When the Cosmological Constant Is Greater than Zero

DOI: 10.4236/jmp.2025.163024, PP. 441-482

Keywords: General Theory of Relativity, Schwarzschild, Reissner-Nordstr?m, Kerr, Kerr-Newman, Metric, Cosmological Constant, Event Horizon, Black Hole

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Abstract:

In a recent article we have corrected the traditional derivation of the Schwarzschild metric when the cosmological constant is equal to zero, thus obtaining the formulation of the correct Schwarzschild metric when the cosmological constant is equal to zero, which formulation is different from that of the traditional Schwarzschild metric when the cosmological constant is equal to zero. Then, in another article by starting from this correct Schwarzschild metric when the cosmological constant is equal to zero, we have corrected also the Reissner-Nordstr?m, Kerr and Kerr-Newman metrics when the cosmological constant is equal to zero. In this article, by starting from these correct Schwarzschild, Reissner-Nordstr?m, Kerr and Kerr-Newman metrics when the cosmological constant is equal to zero, we obtain the formulations of the correct Schwarzschild, Reissner-Nordstr?m, Kerr and Kerr-Newman metrics when the cosmological constant is greater than zero. Moreover, we analyse 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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