Gravitational Waves from Alena Tensor

Alena Tensor is a recently discovered class of energy-momentum tensors that proposes a general equivalence of the curved path and the geodesic for the analyzed spacetimes which allows the analysis of physical systems in curvilinear, classical and quantum descriptions. In this paper it is shown that using this approach naturally leads to the existence of gravitational waves, which, next to the classical interpretation, can be also interpreted as vacuum pressure waves with tensor amplitude. It is also shown that Alena Tensor gives decomposition of energy-momentum tensor of the electromagnetic field using two null-vectors, which allows for further analysis of metrics for curved spacetimes Petrov type D (and degenerated ones) with effective cosmological constant. 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.