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.