GravitationalWaves from Alena Tensor

Alena Tensor is a recently discovered class of energy-momentum tensors that provides a general equivalence of the curved path and the geodesic for the analyzed spacetimes which allows for a faithful reproduction of GR results in flat spacetime. In this paper it is shown that using this approach naturally leads to the existence of gravitational waves, which can be interpreted as vacuum pressure waves with tensor amplitude. The calculated trace of the metric tensor describing curved spacetime turned out to be invariant. A certain simplification of the analysis of gravitational waves has also been proposed, which may help both in their analysis and in the proof of the validity of the Alena Tensor. The article has been supplemented with the Alena Tensor equations with a positive value of the electromagnetic field tensor invariant (related to cosmological constant) which may help in further analysis of this approach.