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By A. A. Logunov

The writer of this monograph, Professor Anatoly A. Logunov, is the exceptional scientist within the box of theoretical and mathematical physics. His contribution to the advance of quantum box idea, argumentation and alertness of dispersion relatives and inclusive approach thought is superb. the new years Professor Logunov has been fruitfully engaged on gravitation difficulties. He has released loads of clinical articles, books, and monographs. to hold out medical learn in excessive strength physics lower than the path of A. A. Logunov the world's greatest proton syncronotron speed up on the power of seventy six GeV was once introduced in 1967 in Protvino. Professor A. A. Logunov is a whole member of the Russian Academy of Sciences (1972), an Honorary health care professional of many universities out of the country; he was once Vice-President of the USSR Academy of Sciences (1974-1991), rector of Moscov M.V. Lomonosov kingdom college (1977-1992). He used to be bestowed the Lenin Proze (1970), the kingdom Prizes of the USSR (1973, 1984), the Social Labour Hero prestige (1980); his awards comprise 4 Lenin orders and plenty of different orders and medals. This monograph sums up stories on constructing the relativistic thought of gravity (RTG).

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We see that motion along a geodesic line of Riemannian space is the motion of a test body under the action of the force F ν : dσ 2 = γµν dxµ dxν , U ν = F ν = −Gραβ U α U β (δρν − U ν Uρ ), and this force is a four-vector. If the test body were charged, it would emit electromagnetic waves, since it moves with acceleration. In SRT there exists an essential difference between the forces of inertia and physical forces. The forces of inertia can always be made equal to zero by a simple choice of reference system, while essentially no choice of reference system can turn physical forces into zero, since they are of a vector nature in Minkowski space.

This acceleration had an absolute character. The introduction of such an abstraction as absolute space turned out to be extremely fruitful. Hence, for instance, arose the concepts of inertial reference systems in the entire space, the relativity principle for mechanical processes, and the idea came into being of states of motion, that are physically singled out. according to classical mechanics there exists “relativity of velocity”, but not “relativity of acceleration”¿¿ 24. Thus in theory was the notion established of inertial reference systems, in which material pointlike bodies, not subject to the action of forces, do not experience acceleration and remain at rest or in their state of uniform motion along a straight line.

Here we shall choose a more simple method for constructing the Lagrangian. 1) ˜→R ˜ − Dν (εν R). 3) 43 as follows: ˜ = −˜ R g µν (Γλµν Γσλσ − Γλµσ Γσνλ ) − ∂ν (˜ g µν Γσµσ − g˜µσ Γνµσ ). 4) is a scalar density. 5) then the scalar density can be identically written in the form ˜ = −˜ R g µν (Gλµν Gσλσ −Gλµσ Gσνλ )−Dν (˜ g µν Gσµσ −˜ g µσ Gνµσ ). 6) individually exhibits the same behaviour as scalar density. We see that the apparatus of Riemannian geometry is inclined toward the introduction of covariant, instead of ordinary, derivatives in Minkowski space, but the metric tensor γµν , used for determining the covariant derivatives, is in no way fixed here.

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