Statistics – Computation
Scientific paper
Sep 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986mnras.222..393f&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 222, Sept. 15, 1986, p. 393-416.
Statistics
Computation
10
Computational Astrophysics, Pulsars, Relativistic Theory, Stellar Oscillations, Vibration Mode, Boundary Conditions, Boundary Value Problems, Equations Of State, Neutron Stars, Polytropic Processes, Stellar Gravitation, Stellar Models
Scientific paper
A new formalism, designed explicitly for the numerical study of g-modes of nonrotating, perfect-fluid, relativistic stars, is presented. The formalism is based on the analysis of Thorne and Campolattaro (1967), but with the following changes: (1) a choice of perturbation variables more suited to the numerical analysis of the low-frequency g-mode pulsations, (2) the introduction of an instantaneous-gravity approximation that replaces the boundary condition of outgoing gravitational radiation at infinity by a nonradiative, Newtonian-like boundary condition, and (3) an energy principle for determining the damping time of a mode due to gravitational radiation. The new formalism is applied to the study of g-mode pulsations of neutron star models with a polytropic equation of state.
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