In this chapter, we will show that from the fact that the gravitational constant must change inversely with the change in the time/distance scale
it follows that black holes do not exist in principle. In GRT, the time dilation for an external observer occurs in accordance with the formula
The graph of the function T (r)/To looks like this
The graph shows that at r=2GM/c^2, the time dilation becomes infinitely large, i.e. the so-called event horizon takes place.
Now we take into account the change in the gravitational constant inversely proportional to the time dilation, for which we solve the following system of equations.
The solution of this system of equations
Graph of the received function
It can be seen from this graph that the time dilation for an external observer becomes infinite only at r=0.
Thus, there is no event horizon.