Alexander Zavesov proposed a new solution to the field equation, in my work
Preprint New version of General Relativity and the Structure of "Black Holes"
this is an exact imaginary solution s=A r^(sqrt(6) i) unlike the numerical solution in my work, the solution has no physical meaning. This gives us hope that the equation has an analytical solution (so far only a numerical solution has been obtained).
A differential equation rarely has a single solution. This equation already has a real solution, so the fact that it is numerical does not matter. An imaginary solution but it doesn’t say anything. A metric tensor can only have real components. Moreover, g_00 must be strictly positive, which is observed in the solution of the new equation; Einstein's equation does not satisfy this requirement. Einstein understood this and considered this until the end of his life as a flaw in the theory that needed to be eliminated. The sea of alternative theories is initially a futile endeavor. Unfortunately, this mass insanity prevents the adoption of a new equation that satisfies all Einstein's principles, including the law of conservation of energy-momentum (this is missing from Einstein's equation).
The solution to the problem of the gravitational field of a point source is formulated as the Cauchy problem. Those. it is necessary to set boundary conditions, in our case asymptotic equality to the Schwarzschild solution.
In this case, the imaginary solution is not included in the solutions of the gravitational field.
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