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that the spin supplementary condition, which is related to the observer dependence of the center, gives rise to a gauge symmetry in the action principle of spinning point-particles. These spinning point-particles serve as an analytic model for extended bodies. The internal structure can be modelled by augmenting the point-particle with higher-order multipole moments. Consequences of the recently discovered universal (equation of state independent) relations between the multipole moments of neutron stars are discussed.

Spin effects on the dynamics of compact binaries