Superluminal velocity and deviation from Newton's inverse square law

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Equations Of State, Gravitation Theory, Gravitational Fields, Newton Theory, Light Speed, Red Shift, Runge-Kutta Method, Space-Time Functions

Scientific paper

Starting from the theory of gravitation in flat space-time of Petry (1981), the gravitational field of a static spherically-symmetric body is studied. Petry (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, perhelion 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 neighborhood 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.

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