Density Discontinuity of a Neutron Star and Gravitational Waves
Hajime Sotani, Kazuhiro Tominaga, and Kei-ichi Maeda

TL;DR
This paper investigates how density discontinuities in neutron stars, possibly from phase transitions, affect their gravitational wave signatures, especially the f- and g-modes, which could be crucial for gravitational wave detection.
Contribution
It provides the first detailed calculation of neutron star quasi-normal modes considering density discontinuities, highlighting their impact on gravitational wave signals.
Findings
Density discontinuity significantly affects the f-mode.
G-mode becomes important in less massive stars.
Discontinuities alter gravitational wave emission characteristics.
Abstract
We calculate quasi-normal f- and g-modes of a neutron star with density discontinuity, which may appear in a phase transition at extreme high density. We find that discontinuity will reflect largely on the f-mode, and that the g-mode could also be important for a less massive star.
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