General equations of the galaxy dynamic
gravitational field that correspond to reality
P Danylchenko
SPE "GeoSystem", Vinnytsia, Ukraine
E-mail: pavlodanylchenko@gmail.com
Abstract
The general solution of the equations of the gravitational field of the galaxy with an additional variable parameter n is found. The additional variable parameter n determines in General Relativity the distribution of the average mass density mainly in the friable galactic nucleus. The velocity of the orbital motion of stars is close to Keplerian one only for n > 225. At n < 215, it is slightly less than the highest possible velocity even at the edge of the galaxy. According to the Relativistic Gravithermodynamics (RGTD) equations, the configuration of the dynamic gravitational field of a galaxy in a quasi-equilibrium state is standard (canonical in RGTD). That is because it is not determined at all by the spatial distribution of the average mass density of its non-continuous matter. After all, this spatial distribution of the average mass density of the galaxy's matter is itself determined by the standard configuration of its dynamic gravitational field. The standard value of the average mass density of matter at the edge of a galaxy is determined by the cosmological constant Λ and the difference between unity and the maximum value of the parameter bc. And it is a non-zero standard value, despite the gravitational radius at the edge of a galaxy takes the zero value. Therefore, in Relativistic Gravithermodynamics, in contrast to General Relativity, there can be no shortage of baryonic mass.
Keywords: General Relativity, Kepler's law, galaxy, gravitational potential, non-baryonic dark matter, orbital velocity, Relativistic Gravithermodynamics.
1. Logarithmic gravitational potential
Physical laws are based only on increments of metrical distances and not on increments of coordinates. Therefore, gravitational field strength k is determined via its gravitational potential φ in t ...
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