On Einstein’s Rejected Field Equation of General Relativity

Abstract

We show that Einstein (1915b)’s second equation of general relativity that was swiftly rejected by himsoon after it was pointed out that this equation was inconsistentwith the law of conservation of energy-momentum, this equation can be salvaged by the introduction of two very modest and acceptable gauge conditions, i.e.: by requiring that metric of spacetime gìn be divergent-less (¶a ga n = ¶ a gìa = 0) and the trace (ga a ) of which must obey the equation ( ga a = 0). When the resulting equation is applied to Universe, one obtains a pure Newtonian Universe.