Separation of spacetime and matter in polar oscillations of compact stars
Y. J. Zhang, Q. Q. Zhu, J. Wu, P. T. Leung
TL;DR
This paper introduces an approximation method to decouple spacetime and matter in the polar oscillations of compact stars, enabling precise calculation of their quasi-normal modes.
Contribution
The authors develop a new approximation scheme that separates spacetime and matter dynamics, improving the analysis of stellar oscillations beyond previous coupled models.
Findings
Accurate determination of p-mode quasi-normal modes.
Precise calculation of w-mode quasi-normal modes.
Effective decoupling of spacetime and matter oscillations.
Abstract
In polar oscillations of compact stars dynamical changes in spacetime and matter are in general coupled together. Based on the theory of stellar pulsation proposed by Allen et al. [Phys. Rev. D 58, 124012 (1998)], we establish a feasible approximation scheme to separate spacetime from matter in such oscillations. Two independent second-order ordinary differential equations are obtained, which lead to accurate determination of p-mode and w-mode quasi-normal modes of compact stars, respectively.
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