Generalised Inverse-Cowling Approximation for Polar $w$-mode Oscillations of Neutron Stars

Abstract

Adopting the Lindblom-Detweiler formalism for polar oscillations of neutron stars, we study the $w$-mode oscillation and find that the Lagrangian change in pressure, measured by the physical quantity $X$, is negligibly small. Based on this observation, we develop the generalised inverse-Cowling approximation (GICA) with the approximation $X=X^{\prime }=0$, where $X^{\prime }$ is the derivative of $X$ with respect to the circumferential radius, for $w$-mode oscillations of neutron stars. Under GICA, $w$-mode oscillations are described by a second-order differential system, which can yield accurate frequencies and damping rates of quasi-normal modes.

11 pages, 4 figures, accepted for publication in MNRAS

References in corpus (24)

• The equation of state for nucleon matter and neutron star structure
• Quasi-Normal Modes of Stars and Black Holes
• Towards gravitational-wave asteroseismology
• Gravitational Radiation Instability in Hot Young Neutron Stars
• Gravitational waves and pulsating stars: What can we learn from future observations?
• Gravitational Wave asteroseismology revisited
• The inverse problem for pulsating neutron stars: A ``fingerprint analysis'' for the supranuclear equation of state
• Gravitational Wave Emission From Core-Collapse of Massive Stars
• Upper limits on gravitational wave emission from 78 radio pulsars
• Limits on gravitational wave emission from selected pulsars using LIGO data
• Gravitational Waves from Gravitational Collapse
• Gravitational waves from pulsating stars: Evolving the perturbation equations for a relativistic star
• Implications of the $B\to X\ell {\bar{\nu }}_{\ell }$ lepton spectrum for heavy quark physics
• The imprint of the equation of state on the axial w-modes of oscillating neutron stars
• On the oscillation spectra of ultracompact stars: An extensive survey of gravitational-wave modes
• Probing neutron star superfluidity with gravitational-wave data
• Listening to the Universe with Gravitational-Wave Astronomy
• Spacetime modes of relativistic stars
• A NEW NUMERICAL APPROACH TO THE OSCILLATION MODES OF RELATIVISTIC STARS
• Wave Propagation in Gravitational Systems: Completeness of Quasinormal Modes
• Accretion-driven gravitational radiation from nonrotating compact objects. Infalling quadrupolar shells
• Probing the interior of neutron stars with gravitational waves
• ON THE OSCILLATION SPECTRA OF ULTRA COMPACT STARS
• Determination of the internal structure of neutron stars from gravitational wave spectra

Cited by in corpus (4)

• Gravitational wave asteroseismology with fast rotating neutron stars
• High-frequency behavior of w-mode pulsations of compact stars
• Perturbations of relativistic dissipative stars
• Separation of spacetime and matter in polar oscillations of compact stars