Kavli Affiliate: Lijing Shao
| First 5 Authors: Hong-Bo Li, Yong Gao, Lijing Shao, Renxin Xu,
| Summary:
The equation of state (EOS) of nuclear dense matter plays a crucial role in
many astrophysical phenomena associated with neutron stars (NSs). Fluid
oscillations are one of the most fundamental properties therein. NSs support a
family of gravity $g$-modes, which are related to buoyancy. We study the
gravity $g$-modes caused by composition gradient and density discontinuity in
the framework of pseudo-Newtonian gravity. The mode frequencies are calculated
in detail and compared with Newtonian and general-relativistic (GR) solutions.
We find that the $g$-mode frequencies in one of the pseudo-Newtonian treatments
can approximate remarkably well the GR solutions, with relative errors in the
order of $1%$. Our findings suggest that, with much less computational cost,
pseudo-Newtonian gravity can be utilized to accurately analyze oscillation of
NSs constructed from an EOS with a first-order phase transition between nuclear
and quark matter, as well as to provide an excellent approximation of GR
effects in core-collapse supernova (CCSN) simulations.
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