  The present thesis aims at an extension of the canonical formalism of
Arnowitt, Deser, and Misner from self-gravitating point-masses to objects with
spin. This would allow interesting applications, e.g., within the
post-Newtonian (PN) approximation. The extension succeeded via an action
approach to linear order in the single spins of the objects without restriction
to any further approximation. An order-by-order construction within the PN
approximation is possible and performed to the formal 3.5PN order as a
verification. In principle both approaches are applicable to higher orders in
spin. The PN next-to-leading order spin(1)-spin(1) level was tackled, modeling
the spin-induced quadrupole deformation by a single parameter. All
spin-dependent Hamiltonians for rapidly rotating bodies up to and including 3PN
are calculated.
