Quartet-metric gravity and dark components of the Universe
  In the report there are presented the general frameworks for the
quartet-metric gravity based upon the two physical concepts. First, there exist
in space-time the distinct dynamical coordinates, given by a scalar quartet,
playing the role of the Higgs fields for gravity. Second, the physical gravity
fields arising due to the spontaneous symmetry breaking serve as the dark
components of the Universe. It is argued that the mere admixture to metric of
the scalar quartet may give rise to an extremely wide spectrum of the emergent
gravity phenomena beyond General Relativity (GR). Developing the proposed
frameworks further to find out the next-to-GR theory of gravity is a challenge.
