Superluminal velocity and deviation from Newton's inverse square law
Starting from the theory of gravitation in flat space-time of the author [Gen. Relativ. Gravitation 13, 865-872 (1981; Zbl 0486.53023)], the gravitational field of a static spherically-symmetric body is studied. The author [ibid. 14, 803 ff. (1982)] has shown that this field in the exterior of the body depends on a parameter which is fixed by the interior solution, i.e., it depends on the density of matter, the pressure, the equation of state, etc. If this parameter is small, the results for the well-known effects, i.e., redshift, deflection of light, perihelion shift, and radar time-delay, agree with those of general relativity. In this paper, we study these effects for larger values of this parameter. Furthermore, for sufficiently large positive values of the parameter, in the neighbourhood of the body the radial velocity of light can exceed several times the vacuum light-velocity. Therefore, the components of such an object can move away with velocities a few times greater than that of light in agreement with the observed superluminal velocities in extragalactic objects.
theory of gravitation in flat space-time
scientific article; zbMATH DE number 4085108