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On the Gravitational Two‐Body Problem in Special Relativity
Author(s) -
Afanasiev G. N.,
Asanov R. A.
Publication year - 1981
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19814930302
Subject(s) - physics , covariant transformation , general relativity , special relativity , classical mechanics , gravitation , theory of relativity , lorentz transformation , four force , realization (probability) , introduction to the mathematics of general relativity , test theories of special relativity , mathematics of general relativity , two body problem in general relativity , precession , mathematical physics , numerical relativity , mathematics , quantum mechanics , statistics
The method of P OINCARÉ is applied to the consideration of the gravitational two‐body problem in the framework of Special Relativity. The formulation of the theory contains two arbitrary functions. A specific choice of these functions leads to the correct description of three crucial experiments, supporting General Relativity, and the time delay of radar signals. However, the gyroscope precession is three times less than that of GR (the realization of this experiment is planned this year). The expansion over the inverse powers of the light velocity being performed approximate Lorentz covariant two‐body equations without retardation effects are obtained. These equations are compared with the EIH two‐body equations.