Comments on the Hypothesis about Possible Class of Particles Able to Travel Faster then Light: Some Geometrical Models

Abstract

The hypothesis about possible existence of new class of particles able to travel faster then light as a source of dark matter, recently formulated by L. Gonzalez-Mesters, is analyzed. To this end the general geometrical model for several kinds of matter with different Lorentziann structures coexisting on the same manifold is introduced and the local energy density in cosmological reference frame is calculated in two particular cases. It is shown that the local energy density is positive in both considered cases and hence such models really may describe cosmological dark matter. Nevertheless, some problems may appear during the construction of the cosmological models or the models of the compact objects. Moreover, the simplest generalization of the model lead to some variants of vector-tensor theory of gravitation with preferable reference frame which contradict to observations.