Validity of Einstein’s equations in non-inertial reference frames is unclear

Determine whether the Einstein field equations are valid in all non-inertial reference frames, beyond quasi-inertial settings such as the solar system, and provide a definitive proof or counterexample regarding their applicability in general non-inertial coordinates (e.g., beyond Fock coordinate systems).

Background

The author contrasts general relativity with the proposed vacuum mechanics framework, noting that GR assumes validity of Einstein’s equations in all reference frames, whereas vacuum mechanics restricts generalized equations to Fock coordinate systems. Because experimental tests chiefly occur in approximately quasi-inertial solar-system contexts, broader validity in non-inertial frames remains unsettled.