The Hawking’s hypothesis about euclidean structure of space-time in classical physics

In connection with current problems of General relativity, gravitation, and cosmology the hypothesis of Hawking about of Euclidean nature of space-time is analyzed. It is shown that in the classical theory this hypothesis leads naturally to the dark matter existence and to the polymetric space-time theories. It is pointed out that the hypothesis under consideration does not contradict to the gravitation waves existence. It is pointed out also that the Newtonian approximation is realized by the usual manner.