Authors: Ichiro Tanabe, Riko Ozao
To provide solutions for the unresolved theoretical questions of black holes, such as the presence of an event horizon, we propose a new spherically symmetric exact solution (we call the Ryskmit (R) solution). The R solution can be obtained by applying Kruskal-Szekeres coordinates (referred to hereinafter as Kruskal coordinates) to the Schwarzchild solution. The R solution has no singularities other than the origin of coordinates and no “event horizon”; therefore, a black hole from which information could not be extracted from the outside need not be considered. Far from the origin, this solution is approximately equal to the Schwarzschild solution. Another characteristic of this solution is that the gravity reaches its maximum at the Schwarzschild radius, and at the half of this radius, it transits to Minkowski space, in which gravity does not exist. This means that the gravity gradually decreases with distance from the Schwarzschild radius. Based on the law of conservation of energy, we deduced a result that explains the production of sufficient kinetic energy for gamma-ray burst. Furthermore, the metric of this solution was remarkably similar to the Reissner–Nordstrøm metric, and the presence and absence of an electrical charge lead to two different masses at the scale of Planck units where the two solutions match. This is an important relationship for answering questions about dark matter. As described above, this exact solution could be a useful basic equation that sheds light not only on astrophysics, but also on particle theory and the unified field theory.
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