Abstract
It is assumed here that the energy of a strong gravitational field creates non-linear effects over enclosed masses. This idea and the rigorous rules of the General Theory of Relativity output a metric that covers strong and weak gravitational fields. The proposed metric could be correct because it included the Schwarzschild’s metric as a particular case and has no singularities. Additionally, it appears here that the massive condition of the gravitational fields has properties like the so-called Dark Matter.
Highlights
Equations having infinities are avoided in physics when possible
Einstein understood that the General Theory of Relativity (GTR) metric of space included Newtonian gravity because gravity produces the curvature of space-time
This is an example of the interplay between mathematics and physics that results in progress in both disciplines
Summary
Equations having infinities are avoided in physics when possible. When that is not possible, we call it a singularity. It looks as they have given up in [19] after concluding “This perhaps can be attributed to the fact, as remarked by Einstein [20] that the general theory of relativity would break down under such stringent conditions” It is mentioned in [21] that there should be some physics because the Schwarzschild’s solution is mathematically stable under small non-spherical perturbations. Negating the power of theoretical physics, in [24] was claimed “In a real Universe an isolated body cannot be described strictly by the Schwarzschild solution because the body does not exist all alone in the Universe” Professors teaching this material are not happy with its consequences, even in modern times, as in [25] where it was declared “In concluding, it is important to emphasize that the interior structure of realistic black holes has not been satisfactorily determined and is still open to considerable debate”. This statement seems trivial, but it is the reason of this paper where the question Could exist another solution that include the Schwarzschild’s solution as a particular one? will be answer
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