Within the framework of the
general theory of relativity (GR) the modeling of the central symmetrical gravitational
field is considered. The mapping of the geodesic motion of the Lemetr and
Tolman basis on their motion in the Minkowski space on the world lines is
determined. The expression for the field intensity and energy where these bases
move is obtained. The advantage coordinate system is found, the coordinates and
the time of the system coincide with the Galilean coordinates and the time in
the Minkowski space.
References
[1]
Fock V. A. (1961) Theory of Space Time and Gravitation. Fizmatgiz,
Moscow.
[2]
Rodichev V. I.(1974)
Gravitational Theory at the Orthogonal Frame. Nauka, Moscow.
[3]
Logunov A.
A. (1987) Lectures on Theory
of Relativity and Gravitation. Modern Problem Analysis. Nauka, Moscow.
[4]
Rosen N.
(1940) General Relativity and Flat
space I, General Relativity and Flat Space II. Physical Review, 57, N 2,
147-150, 150-153.
[5]
Petrov A. Z. (1971) Preprint ITF – 71 – 130R, Kiev.
[6]
Siniukov N. S.(1979) Geodesic Mapping of Riemannian Spaces. Nauka, Moscow.
[7]
Landau
L. D., Lifshits E. M.(1973) Field Theory. Nauka, Moscow.
[8]
Podosenov S.
A.(1976) Modeling of Centrosymmetrical Gravitational Field. In Heads of Report4-th All-Union Conferenceon Modern Theoretical and Experimental
Problems of Theory of Relativity and Gravitation, Minsk, BGU, 1976, 258–260.
[9]
Zel’dovich Ia. B., Novikov I. D.
(1967) Relativistic Astrophysics. Nauka, Moscow.
[10]
Denen G.(1970) About
Dynamics of General Relativity Theory. In Einsteinian
collection 1969-1970, Nauka,
Moscow, 140-161.
[11]
Podosenov S. A. (1972) Rectilinear Born’s Rigid Continuum Motion with
Uniform Acceleration in Accompanying Tetrad. In Problems of gravitation theory. Theoretical and Mathematical Physics, ser.Aissue 1, VNIIOFI, Moscow, 95–104.
[12]
Mak-Vitty
G. K. (1961) General Relativity Theory and Cosmology. Transl. from Engl., Izd.
Inostr. Lit., Moscow.
[13]
Keres Kh. P.(1963) Generalized Inertial Systems in
Newtonian and Relativistic Mechanics. I. Newton theory. In Investigations on theoretical physics, Transactions IFA AN ESSR, N
20, Tartu, 92-112.