G-modes in zero-temperature neutron stars

Physics

Scientific paper

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Ideal Fluids, Neutron Stars, Stellar Composition, Stellar Oscillations, Stellar Temperature, Vibration Mode, Isentropic Processes, Stellar Models, Temperature Dependence

Scientific paper

The chemical inhomogeneities perturbing some g-modes away from zero frequency in an isentropic, perfect-fluid star is studied in the idealized case of zero-temperature, perfect-fluid neutron stars. At fixed spherical harmonic order l, there is a countable infinity of finite temperature modes. The essential physics of discontinuity modes is captured by a simple physical analogy with gravity waves at the interface between two incompressible fluids; this analogy is here exploited to furnish estimates of the pulsation frequencies, energies, and damping times. The estimates are compared with numerical calculations for simple model stars based on a polytropic equation of state, as well as for more complex model stars based on the equation of state of cold and fully catalized nuclear matter.

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