What is Dark Matter?
Dark Matter must exist because too many parameters (some very fundamental) and many observations depend on its existence. Having said that: What is it?
There is a cosmology hypothesis (very extensive and several decades old “CCA”) from which one can calculate a plethora of parameters and including the determination of how much DM is there in the universe and a possibility for what DM is. {For example, by the CCA hypothesis, the DM states are, unlike any up to now hypothesized state, a stable member of a family of “archaic” particles (identified and well defined, all bosons) that are “totally blind” to “all but” gravitational field (perhaps also to a scalar). They are not of leptons or quarks but actually in the evolution of the universe, are “progenitors” of both leptons and quarks. These DM stable states currently have a number density ½ that of baryonic matter. If this is valid, then their “equivalent rest mass”, mo, from the above DM cosmic value and Nucleosynthesis and WMAP inferred age can be found from the amount of DM (Mdm) in the “accessible” universe which is:
Mdm = 6.41x10^55 g. and its “equivalent rest mass”, mo ~ (Mdm)/(3.5x10^78) = 1.82x10^-23 g. This is about 11 times more massive than the proton.
(From this, CMB details can also come about and can be calculated).
Why not discovered? Among other peculiarities, not “easily produced”. Very weak interacting (if these statements so far have not shocked everyone, the next statement, no doubt, will) “photon-blind antimatter”; no annihilation, but a “destructive” interaction shows photons up to energies of neutral kaon and neutral D-meson decays. They also, have cosmic behavior that causes non-linear oscillations (fast, across strong gravitational field, “hot” regions) to form (slow moving) concentrations at the most, weak field, “cold” regions of large structures. This means small number densities within visible matter concentrations}
Just to show that this is not, ad hoc and how the rest of the components of the universe fit with this, the densities D (for the total critical, the Dark Energy (vacuum energy) Dark Matter and Baryonic Matter respectively) are calculated and given to be compared with observations.
Dc = Dde + Ddm + Dbm
9.60 x10^-30 = 7.0 x10^-30 +2.16 x 10^-30 + 4.16 x10^-31 g-cm^-3
For the total critical value of omega = 1, or (100%)
100% ~ 73.6% + (22.2% + 4.3%)
and can be compared to the published values.
How does this fit with GR? The Ricci Tensor cannot vanish (no such thing as “empty space”). A different metric (non-Minkowski, and with past-future asymmetry). The Equivalence Principle needs modification. Not a “pure” Cosmological “Constant”. Otherwise, GR is ok.