In this brief summary I will concentrate on the values of the cosmological parameters. The other key questions in cosmology today concern the nature of the dark matter and dark energy, the origin and nature of the primordial inhomogeneities, and the formation and evolution of galaxies. I have been telling my theoretical cosmology students for several years that these latter topics are their main subjects for research, since determining the values of the cosmological parameters is now mainly in the hands of the observers.
In discussing cosmological parameters, it will be useful to
distinguish between two sets of assumptions: (a) general relativity
plus the assumption that the universe is homogeneous and isotropic on
large scales (Friedmann-Robertson-Walker framework), or (b) the
CDM
family of models. The
CDM
models assume that the present matter
density
m plus the
cosmological constant (or its equivalent
in ``dark energy'') in units of critical density
=
/
(3 H02) sum to unity
(
m +
= 1) to
produce the flat universe predicted by simple cosmic inflation models.
The
CDM family of models was
introduced by
Blumenthal et al. (1984),
who worked out the linear power spectra P(k) and a
semi-analytic treatment of structure formation compared to the
then-available data. We did ths for the
m = 1,
= 0
``standard'' cold dark matter (CDM) model, and also for the
m = 0.2,
= 0.8
CDM model. In addition to
m +
= 1, these
CDM models assumed that the
primordial fluctuations were Gaussian with a Zel'dovich spectrum
(Pp(k) = Akn, with n =
1), and that the dark matter is mostly of the
cold variety.
The table below summarizes the current observational information
about the cosmological parameters. The quantities in brackets have
been deduced using at least some of the
CDM assumptions. The rest
of this paper discusses these issues in more detail. But it should
already be apparent that there is impressive agreement between the
values of the parameters determined by various methods.
Hubble parameter | H0 | = | 100 h = km s-1 Mpc-1 , h = 0.65 ± 0.08 |
Age of universe | t0 | = | 9-16 Gyr (from globular clusters) |
= | [9-17 Gyr] | ||
Baryon density | ![]() | = | 0.019 ± 0.001 (from D/H) |
> | [0.015 from Ly![]() | ||
Matter density | ![]() | = | 0.4 ± 0.2 (from cluster baryons) |
= | [0.34 ± 0.1 from
Ly![]() | ||
= | [0.4 ± 0.2 from cluster evolution] | ||
> | 0.3 (2.4 ![]() | ||
![]() | 3/4 ![]() ![]() | ||
Total density | ![]() ![]() ![]() | ![]() | 1 ± 0.3 (from CMB peak location) |
Dark energy density | ![]() ![]() | = | 0.8 ± 0.3 (from previous two lines) |
< | 0.73 (2![]() | ||
Neutrino density | ![]() ![]() | ![]() | 0.001 (from Superkamiokande) |
![]() | [0.1] | ||