Abstract
We investigate spontaneously broken symmetries and their conseqeunces for the static and dynamic behavior of $^{3}P_{2}$-neutron-star matter. Apart from a broken gauge symmetry, which is characteristic of any superfluid, the total rotational symmetry of spin and orbit space is spontaneously broken, a property unique to $^{3}P_{2}$-neutron-star matter. The additional hydrodynamic variables are discussed, especially their commutator relations and their anholonomity properties. A complete set of nonlinear hydrodynamic equations is derived, and a procedure for guaranteeing total angular momentum conservation locally is presented. As unusual hydrodynamic excitations we find three pairs of damped spin-orbit waves which reflect the intricate coupling of orbit and spin space in $^{3}P_{2}$-neutron-star matter. Its hydrodynamics shares some properties with biaxial nematic liquid crystals on the one hand and with $^{3}\mathrm{He}$-B on the other. Finally, we discuss the consequences of a reversible current connecting the vortices of the magnetic field with the density of linear momentum which can influence the magnetohydrodynamics of a neutron star.
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