Unimodular bimode gravity and the coherent scalar-graviton field as
  galaxy dark matter
  The explicit violation of the general gauge invariance/relativity is adopted
as the origin of dark matter and dark energy of the gravitational nature. The
violation of the local scale invariance alone, with the residual unimodular
one, is considered. Besides the four-volume preserving deformation mode -- the
transverse-tensor graviton -- the metric comprises a compression mode -- the
scalar graviton, or the systolon. A unimodular invariant and general covariant
metric theory of the bimode/scalar-tensor gravity is consistently worked out.
To reduce the primordial ambiguity of the theory a dynamical global symmetry is
imposed, with its subsequent spontaneous breaking revealed. The static
spherically symmetric case in the empty, but possibly for the origin, space is
studied. A three-parameter solution describing a new static space structure --
the dark lacuna -- is constructed. It enjoys the property of gravitational
confinement, with the logarithmic potential of gravitational attraction at the
periphery, and results in the asymptotically flat rotation curves. Comprising a
super-massive dark fracture (a scalar-modified black hole) at the origin
surrounded by a cored dark halo, the dark lacunas are proposed as a prototype
model of galaxies, implying an ultimate account for the distributed
non-gravitational matter and a putative asphericity or rotation.
