Valery Borisovich Morozov

• Master of Science
• Senior Researcher at PNP "SIGNUR", Moscow, Russia

Have you ever thought about what local coordinates are?

Maybe you think that the Riemann space becomes flat in a small neighborhood of a point?

Not at all!

For any arbitrarily small neighborhood of a point in Riemann space, all parameters remain unchanged. This. Curvature, turns and Christoffel symbols remain the same. In the neighborhood size limit, these are just values at a point (no argument here, this is the definition of curvature and other things).

Of course, in a small radius they almost look like straight lines. However, this is not called a transformation into an inertial frame. In this case we simply observe EQUIVALENCE in a small neighborhood.

What has been called the Landau-Livshits and Moeller transformation (Moeller did this explicitly) is essentially the replacement of a function by its differential, i.e. H. first approximation of the function. Replacement at a point of Riemann space by the tangent space.

You can find an explanation in the chapter

Let ε_g be the energy of the gravitational field;

ε_s is the energy of the substance.

if both quantities are positive conservation law:

δ ε_s + δ ε_g = 0

But the energy of a stationary gravitational field is negative!

Does this mean that as the energy of matter decreases, the absolute value of the field energy also decreases? Those. in this case, part of both energies disappears?

Or in this case

δ ε_s - δ ε_g = 0 ?

Alexander Zavesov proposed a new solution to the field equation, in my work

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).

This quote should stop discussions on this topic.

The only real theory of gravity is Einstein's General Theory of Relativity. The object of this theory is Einstein's physical space. This object has mass density, momentum and stress. However, the speed of the physical vacuum does not make sense. The same feature is inherent in the electromagnetic field. This property of the gravitational field (4-space) is equivalent to the requirement that there is no absolute coordinate system.

Thus, it is pointless to try to give meaning to the gravitational field to fields that have a certain speed. However, most hypothetical alternatives to general relativity have precisely this property, for example by incorporating such matter fields into the operation of classical general relativity.

It is this “extension” of the general theory of relativity that most researchers are engaged in. It is clear that this activity has nothing to do with gravity. Moreover, an adequate Einsteinian theory of gravity already exists.

Perhaps the only weak point of the general theory of relativity is the absence of a full-fledged conservation law. However, the introduction of the gravitational field energy-momentum tensor into the theory eliminates this drawback. More precisely, the field energy-momentum tensor is introduced into Einstein's gravitational field equation.

The updated theory has acquired the law of conservation of energy. In addition, the previously meaningless part of the Schwarzschild solution g_{00} became a finite continuous positive function.