Separation of spacetime and matter in polar oscillations of compact stars
arXiv:1208.3021 · doi:10.1093/mnras/stt2428
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.
25 pages, 3 figures and 4 tables
References in corpus (10)
- Quasinormal modes of black holes: from astrophysics to string theory
- Neutron Star Observations: Prognosis for Equation of State Constraints
- Sensitivity Studies for Third-Generation Gravitational Wave Observatories
- The Nuclear Equation of State and Neutron Star Masses
- Gravitational wave asteroseismology of fast rotating neutron stars with realistic equations of state
- Analytical representations of unified equations of state of neutron-star matter
- Signatures of hadron-quark mixed phase in gravitational waves
- Determination of the internal structure of neutron stars from gravitational wave spectra
- High-frequency behavior of w-mode pulsations of compact stars
- Generalised Inverse-Cowling Approximation for Polar -mode Oscillations of Neutron Stars