According to the Einstein-Mayer theory of the Riemanniann space-time w
ith Einstein-Cartan teleparallelism, the local Lorentz invariance is b
roken by the gravitational field Machian reference systems. This break
ing of symmetry implies the occurrence of 'hidden matter'' in the Eins
tein equations of gravity. The hidden matter is described by the non-L
orentz-invariant energy-momentum tensor <(Theta)over cap>(ik) satisfyi
ng the relation <(Theta)over cap>(k)(i):(k) = 0. The tensor <(Theta)ov
er cap>(ik) is formed from the Einstein-Cartan torsion field given by
the anholonomy objects, F-Aik = 2h (A[i,k]), and appears together with
Hilbert's energy-momentum tensor T(ik) and Poincare's pressure lambd
a g(ik) on the right-hand side of Einstein's equations so that one has
R-ik - (1/2) g(ik) R = -kappa T(ik) - lambda g(ik) - <(Theta)over ca
p>(ik) According to this theory, in the universe and in cosmic systems
one must except ''invisible masses'' described by the Poincare and Ei
nstein-Cartan terms to exist. The torsion field F-Aik makes the space-
time a Machian universe; it is of the same nature as the ''weak intera
cting matter'' discussed in astrophysics.