Transformations of metric tensor and interactive theory of gravity

TL;DR

This paper explores how metric tensors transform under Lorentz and curved spacetime transformations, proposing a linear perturbation model of interactive gravity tested on planetary orbits and perihelion precession.

Contribution

It introduces a generalized metric transformation framework from Minkowski to curved spacetime using infinitesimal quasi Lorentz transformations, and applies it to planetary orbit analysis.

Findings

Revisited perihelion precession with the new model

Validated the perturbation approach for two-body systems

Demonstrated consistency with known gravitational effects

Abstract

In this paper it is reconciled how the metric in Minkowskian space-time gets transformed from one coordinates system to another after successive Lorentz transformations. And likewise this idea is generalized to achieve metric transformation from one curved spacetime to another. The synergy between different sources of masses manifests curved space-time perturbed and the perturbed metric is assumed as point-to-point infinitesimal quasi Lorentz transformation of the Minkowski metric. For two body system this model of linear perturbation interactive gravity is tested for the unstable planetary elliptical orbit and the precession of perihelion is revisited.