The oscillations of superfluid neutron stars

Details The oscillations of superfluid neutron stars The oscillations of superfluid neutron stars

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...421..689l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 421, no. 2, p. 689-704

Astronomy and Astrophysics

Astrophysics

44

Hydrodynamics, Neutron Stars, Stellar Models, Stellar Oscillations, Superfluidity, Superfluidity, Mathematical Models, Pulsed Radiation, Stellar Radiation

Scientific paper

The effects of superfluid hydrodynamics on the oscillations of neutron stars are investigated. The equations describing the small-amplitude pulsations of a neutron star's neutron-proton superfluid mixture are reduced to a system of three second-order equations for three scalar potentials. A variational principle is developed from which the frequencies of the modes of these superfluid oscillations may be estimated. These pulsations are studied by finding analytical solutions to the equations for simple uniform models of nonrotating neutron stars and numerical solutions for realistic models (including rotation). These solutions reveal that the lowest frequency modes are almost indistinguishable from those based on ordinary-fluid hydrodynamics. The analytical solutions also reveal the existence of a new set of modes having no ordinary-fluid counterpart.

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