On the nonradial pulsations of general relativistic stellar models

Mathematics

Scientific paper

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Nonlinear Equations, Pulsars, Relativistic Effects, Singularity (Mathematics), Stellar Models, Stellar Oscillations, Equations Of State, Error Analysis, Perturbation Theory, Power Series

Scientific paper

The present nonsingular fourth-order system of equations for the nonradial pulsations of general relativistic stellar models represents an improvement over previous discussions which employed fifth-order systems, or regular fourth-order ones, to describe the pulsations. Attention is given to the nonsingular power series solutions to these equations near r = zero. In order to further investigate the reliability of previously published results, a novel computer code is developed which evaluates the eigenfrequencies of the quasi-normal modes of general relativistic stellar models by integrating the nonsingular equations.

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