A Unique Generalization of Einstein Field Equation; Pathway for Continuous Generation of Gravitational Waves

Abstract

In this theoretical exploration, we introduce a novel extension to the Einstein field Equations by incorporating a newly defined metric tensor, termed the “Golden Metric Tensor”. This approach aims to complement and expand upon the well-established Einstein field equations devoid of its initial incompleteness thereby offering a fresh perspective on the nature of gravity and its interplay with spacetime. Our result is found to be mathematically most elegant, physically most natural, and satisfactory for application to a sinusoidal time distribution of mass within a spheroidal body to generate gravitational waves.