K-matter as Mach's principle realization
  It is shown that if one takes into account Mach's principle in the form which
follows from quantum theory and considers it as a complementary constraint
between the parameters which characterize the energy density and geometry of
the universe in addition to Einstein equations for a FRW universe,
non-relativistic matter transforms into an analogue of K-matter. The exact
solutions of the Einstein equations for the universe with such matter and
cosmological constant are found. It is demonstrated that the Machian universe
under consideration with a nonzero cosmological constant is equivalent to the
open de Sitter universe. In the limit of zero cosmological constant such a
universe evolves as a Milne universe, but in contrast to it, it contains matter
with nonzero energy density. The possible application of proposed approach to
the description of the present cosmological data is discussed. The problem of
the age of the universe is considered as an example.
