betzalel said:
1) Direct dark matter detection, negative after 50 years search.
There are lots of perfectly reasonable dark matter models (e.g. singlet sterile neutrino dark matter that don't oscillate with other neutrinos) in which it shouldn't be possible to detect dark matter directly. All direct dark matter detection experiments assume that dark matter has some cross-section of interaction with other ordinary matter through some force, with the weak force interactions of the neutrino typically used as a benchmark. No direct dark matter detection experiment has excluded dark matter particles under about 1 GeV or cross-sections of interaction consistent with a particle that interacts with ordinary matter only via gravity and Fermi contact forces (for which the cross-section of interaction from the signal would be drowned in the baseline of the cross-section of interaction of the background neutrinos).
2) Solar system area search for dark matter, negative for dark matter.
There shouldn't be enough dark matter in the solar system or a sufficiently non-homogeneous distribution of it, to be discernible from solar system gravitational dynamics. The total amount of dark matter expected for the solar system has a mass on the order of a small asteroid and would be spread fairly evenly throughout the solar system.
3) Local universe search for dark matter, negative for dark matter.
False. Lensing data and the dynamics of objects in the local universe clearly indicate that there are dark matter pheneomena in the local universe.
4) Observed spiral galaxy central form, does not agree with simulations for galaxy formation/evolution with dark matter. Cusp problem.
This is a problem with a particular dark matter paradigm called "Cold Dark Matter" which presumes thermal relic dark matter particles with masses on the order of 10s to 100s of GeVs that interact via the weak force and gravity, but not the strong or electromagnetic forces, for which supersymmetry theories provided multiple plausible candidates.
But there are a variety of ways to solve that problem. One is to use a lighter dark matter candidate (mass ca. keV) which is called "Warm Dark Matter". Another is to assume that there is a medium range force that causes dark matter to interact with other dark matter (but not with ordinary matter) via roughly MeV mass bosons with roughly the strength of the electromagnetic force.
This is also as good a place as any to explain that "Cold Dark Matter" as used in the lambdaCDM model's definition is a false friend which means something different when a CDM model is used to explain, for example, galactic rotation curves.
As used in the lambdaCDM model, a dark matter particle includes every kind of particle that would qualify as warm dark matter (WDM) or cold dark matter, but in other contexts, CDM refers exclusive to thermal relic dark matter with mass of about 5-10 GeV or more.
5) Satellite galaxy crisis
This too is a problem particular to the "Cold Dark Matter" paradigm that can be solved with either lighter "Warm Dark Matter" or with self-interacting dark matter.
The amount of galaxy group scale structure that you see in a system is essentially a function of the mean velocity of dark matter particles which in a thermal relic scenario is basically a function of dark matter particle mass. The lighter your dark matter particles, the fewer satellite galaxies you will have on average. They heavier your dark matter particles the more satellite galaxies you will have on average. This is one of the most obvious instances where tweaking one parameter, dark matter particle mass, of your model can fit it to observation without further difficulties.
The finding that a plane of satellite galaxies based on observations appears to be ubiquitous for all spiral galaxies, (>7σ confidence), published in Nature, is a big deal. i.e. Galaxy growth by mergers should produce a sphere of satellite galaxies not a narrow plane of satellite galaxies.
The assumption that galaxy growth should produce a sphere of satellite galaxies is not well established. The observation is notable, but it isn't obvious evidence one way or the other because the status quo evolution isn't terribly well understood in this respect.
More generally, there are a number of serious methodological issues with the simulations that are used to compare universes with hypothetical varieties of dark matter with observation, some of which rescue otherwise troubled DM theories, and others of which are challenging for DM theories:
1. Some of the cusp problem, for example, is due to the failure of simulation models to consider gravitational interactions with ordinary matter (often simulations are run in dark matter only universes).
2. Simulations routinely disregard GR effects and simply reply on Newtonian gravity. This is less bad that you would naively assume and it certainly isn't necessary to use full fledged GR to do an accurate numerical model at this scale, but there are some post-Newtonian tweaks that arise as a result of the differences between GR and Newtonian gravity to be discernible at this scale which should be incorporated, which is hard but not impossible as computers become more powerful. For example, GR clearly treats a rotating disk of matter differently than Newtonian gravity does, even though the differences are rather subtle.
3. Simulations usually make some pretty unrealistic assumptions about galaxy formation that make dark matter models seem to perform better than they would if realistic assumptions were used instead.
It isn't entirely clear how the various models will shake out as these issues with the computer simulations are resolved.
And, there are a few things that DM theories do quite well, such as predict the dynamics of "RAVE" stars in the Milky Way galaxy that are significantly above or below the plane of the Milky Way's spiral galaxy.
On the other hand, there are some things that DM theories generically (i.e. without regard to parameters like DM particle mass or known problems with simulation methods) do rather poorly. For example, DM theories generically under predict the proportion of spiral galaxies that lack a bulge. They generically fail to predict that the ratio of dark matter to luminous matter in elliptical galaxies is lower when they are more nearly spherical, and higher when they are less spherical. They predict much more scatter between the ratio of dark matter to luminous matter in spiral galaxies relative to their size than is actually observed if galaxy formation is just a product of random collisions of clumps of matter in the early universe according to GR alone. DM theories, generically, fail to predict the fine level wavelike texture of the distribution of stars in spiral galaxies and elliptical galaxies; instead they predict a smooth texture which is not observed.
Systems like the Bullet Cluster disfavor many (but not all) modified gravity alternatives to dark matter, but also place some serious constraints on dark matter parameters.
For example, the most prominent modified gravity theory, MOND, does a wonderful job of predicting (in advance) galactic rotation curves of every kind of galaxy from dwarf to elliptical with just a single experimentally fixed parameter. This by itself strongly hints at a fairly simple mechanism to explain this dark matter phenomena since one degree of freedom can explain far more than one might naively expect. But, this toy model phenomenological model also has a variety of known flaws: (1) it isn't relativistic although a relativistic extension of it called TeVeS exists, (2) it systemically underestimates the magnitude of dark matter pheneomena in galactic clusters, (3) it does a poor job of predicting the dynamics of RAVE stars, (4) it is inconsistent with the Bullet Cluster in its original form, and (5) it requires a slight tweak when there are two galaxies with heavily overlapping gravitational fields. But, another modified gravity theory, called MOG (for modified gravity) by Professor Moffat, lacks problems (1), (2) and (4) and hasn't been tested against RAVE star dynamics or (5) at this point.
I've seen some quite impressive early efforts to modify gravity by assuming that conventional GR using Einstein's equations incorrectly models the self-interactions of the gravitational field, which implies that the strength of modified gravity effects should be driven almost entirely by the overall mass of the system, and the extent to which a system is not spherical, which would not require any new experimentally measured parameters not already derivable from standard GR. This model also explains at least some observed dark energy effects and hence also the "cosmic coincidence" problem of why the amount of matter, inferred dark matter, and inferred dark energy are all of the same order of magnitude. But, there is a lot of work yet to be done to turn that into a workable completely articulated modified gravity theory.
The key bottom line point is that evidence that strongly indicts any particular dark matter or modified gravity model to explain dark matter phenomena doesn't necessarily mean that particle based dark matter paradigms or modified gravity model paradigms are failures in all of their many variations.