  One of the most interesting mysteries of astrophysics is the puzzle of dark
matter. Although numerous techniques have been explored and developed to detect
this elusive substance, its nature remains unknown. One such method uses large
high-energy neutrino telescopes to look for the annihilation products of dark
matter annihilations. In this summary article, we briefly review this
technique. We describe the calculations used to find the rate of capture of
WIMPs in the Sun or Earth and the spectrum of neutrinos produced in the
resulting dark matter annihilations. We will discuss these calculations within
the context of supersymmetry and models with universal extra dimensions, the
lightest supersymmetric particle and lightest Kaluza-Klein particle providing
the WIMP candidate in these cases, respectively. We will also discuss the
status of some of the experiments relevant to these searches: AMANDA, IceCube
and ANTARES.
