The Questionable Existence of Gravitomagnetic Force

Using a simple model of moving massive parallel plates this paper explains that there cannot be any gravitomagnetic force contrary to a widely spread belief that such a force exists. The existence of this force is usually supported by the analogy with the Maxwell theory of Electromagnetic fields. The gravitomagnetic force, analogous to a force described by the Lorentz force equation, and the accompanied gravitoelectromagnetic field equations, are all derived from Einstein field equations by linearization for the weak gravitational field. The derivation presented in this paper offers a clear reason for the nonexistence of the gravitomagnetic field and therefore also questions the validity of Einstein field equations.