Comparative Study Of Generalized Newton Dynamical Gravitational Scalar Potential With The Golden Riemanian Dynamical Gravitational Scalar Potential
DOI:
https://doi.org/10.60787/jnamp.vol68no1.432Keywords:
Gravitational scalar potential, Taylor series, Golden Riemanian scalar potential, Spherical massive bodies Additional correction termsAbstract
Over the years, there has been a growing need to generalize both Newton’s dynamical theory of gravitation and Einstein’s geometrical theory of gravitation to achieve better consistency with all physical theories. In this article, a Taylor series expansion approach was utilized to extend Newton’s dynamical gravitational field, resulting in the construction of a generalized dynamical gravitational field equation. This generalized equation was then applied to static, homogeneous spherical massive bodies to derive generalized exterior gravitational scalar potentials. The generalized dynamical gravitational scalar potential was utilized to analyze the motion of planets within the solar system. The findings reveal that this potential is enhanced by additional correction terms of all orders of ????−2 which are not present in Newton’s dynamical equation of motion. Additionally, the generalized dynamical gravitational scalar potential includes a ????−4 postNewtonian correction term. These results were compared with those obtained using the Golden Riemannian dynamical gravitational scalar.
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