# Generalization Of Newton’s Dynamical Gravitational Potential Using Gravitational Time Dilation And Gravitational Length Contraction In Schwarzschild Spacetime

## DOI:

https://doi.org/10.60787/jnamp.v68no1.429## Keywords:

Generalized Gravitational Scalar Potentials, Gravitational time dilation, Gravitational length contraction, Schwarzschild space time## Abstract

In this article, we employed gravitational time dilation and length contraction within Schwarzschild spacetime to formulate a generalized gravitational field equation. This dynamic field equation was then used for static, homogeneous spherical massive bodies to derive the generalized exterior gravitational scalar potential. The results indicate that the generalized dynamic gravitational scalar potential includes an additional correction term proportional to ????−2 , which is absent in both Newton's equations of motion and Einstein's geometrical equations of motion.

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*The Journals of the Nigerian Association of Mathematical Physics*,

*68*, 151-156. https://doi.org/10.60787/jnamp.v68no1.429