There is no shortage of ideas as to what the dark matter could be. In fact, the problem is the opposite. Serious candidates have been proposed with masses ranging from 10^-5 eV = 1/8*10^-41 kg =9*10^-72 "of sun mass" (axions) up to 10^5 "of sun mass" (black holes). That's a range of masses of over 75 orders of magnitude! It should be clear that no one search technique could be used for all dark matter candidates.
Even finding a consistent categorization scheme is difficult, so we will try a few. First, as discussed above, is the baryonic vs non-baryonic distinction. The main baryonic candidates are the Massive Compact Halo Object (Macho) class of candidates. These include brown dwarf stars, jupiters, and 100 "of sun mass" black holes. Brown dwarfs are spheres of H and He with masses below 0.08 "of sun mass" , so they never begin nuclear fusion of hydrogen. Jupiters are similar but with masses near 0.001 "of sun mass". Black holes with masses near 100 "of sun mass" could be the remnants of an early generation of stars which were massive enough so that not many heavy elements were dispersed when they underwent their supernova explosions. Other, less popular, baryonic possibilities include fractal or specially placed clouds of molecular hydrogen. The non-baryonic candidates are basically elementary particles which are either not yet discovered or have non-standard properties.
Outside the baryonic/non-baryonic categories are two other possibilities which don't get much attention, but which I think should be kept in mind until the nature of the dark matter is discovered. The first is non-Newtonian gravity (MOND theory).
but watch for results from gravitational lensing which may place very stron constraints. Second, we shouldn't ignore the ``none-of-the-above" possibility which has surprised the Physics/Astronomy community several times in the past.
Among the non-baryonic candidates there are several classes of particles which are distinguished by how they came to exist in large quantity during the Early Universe, and also how they are most easily detected. The axion is mentioned as a possible solution to the strong CP problem and is in a class by itself. The largest class is the Weakly Interacting Massive Particle (Wimp) class , which consists of literally hundreds of suggested particles. The most popular of these Wimps is the neutralino from supersymmetry . Finally, if the tau and/or muon neutrinos had a mass in the 2 eV to 100 eV range, they could make up all or a portion of the dark matter (this is not the ordinary Standard Model neutrinos) .
Another important categorization scheme is the ``hot" vs ``cold" classification. A dark matter candidate is called ``hot" if it was moving at relativistic speeds at the time when galaxies could just
start to form (when the horizon first contained about 10^12 "of sun mass" ). It is called ``cold" if it was moving non-relativistically at that time. This categorization has important ramifications for structure formation, and there is a chance of determining whether the dark matter is hot or cold from studies of galaxy formation. Hot dark matter cannot cluster on galaxy scales until it has cooled to non-relativistic speeds, and so gives rise to a considerably different primordial fluctuation spectrum. Of the above candidates only the light neutrinos would be hot; all the others would be cold.
this could summary all the book in a good and more accurate manner (in the problem of the search process not how the dark matter idea starts)