  Neutralino dark matter, and in particular different aspects of its detection
at neutrino telescopes, has been studied within the Minimal Supersymmetric
extension of the Standard Model, the MSSM. The relic density of neutralinos has
been calculated using sophisticated routines for integrating the annihilation
cross section and the Boltzmann equation. As a new element, so called
coannihilation processes between the lightest neutralino and the heavier
neutralinos and charginos have also been included for any neutralino mass and
composition. The detection rates at neutrino telescopes have been evaluated for
neutralino annihilation in both the Sun and the Earth using detailed Monte
Carlo simulations of the whole chain of processes from the neutralino
annihilation products in the core of the Sun or the Earth to detectable muons
at a neutrino telescope. A comparison with other searches for supersymmetry at
accelerators and direct dark matter searches is also given. The signal muon
fluxes that current and future neutrino telescopes can probe and the
improvement in sensitivity that can be achieved with angular and/or energy
resolution of the neutrino-induced muons has also been investigated. The
question of whether the neutralino mass can be extracted from the width of the
muon angular distribution, if a signal flux is observed, has also been
addressed.
