  We replace general relativity (GR) and the cosmological constant ($\Lambda$)
in the standard cosmology (SM-GR-$\Lambda$-CDM) with a Lorentz gauge theory of
gravity (LGT) and show that the standard model (SM) neutrinos can be the cold
dark matter (CDM) because (i) the expansion of the universe at early times is
not as sensitive to the amount of radiation as in the SM-GR-$\Lambda$-CDM and
(ii) in LGT there exists a spin-spin long-range force that is very stronger
than the Newtonian gravity and interacts with any fermion including neutrinos.
Assuming that neutrinos as heavy as 1eV are the cold dark matter, the lower
bound on the dimensionless coupling constant of LGT is derived to be $10^{-7}$
which is small enough to be consistent with the upper bound that can be placed
by the electroweak precision tests. We also show that the vacuum energy does
not gravitate in LGT and a decelerating universe shifts spontaneously to an
accelerating one right at the moment that we expect. Therefore, current
observations can be explained in our cosmological model (SM-LGT) with lesser
assumptions than in the SM-GR-$\Lambda$-CDM.
