Normal and Quasinormal Modes of Holographic Multiquark Star. (arXiv:2208.02761v1 [gr-qc])

<a href="http://arxiv.org/find/gr-qc/1/au:+Ponglertsakul_S/0/1/0/all/0/1">Supakchai Ponglertsakul</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Burikham_P/0/1/0/all/0/1">Piyabut Burikham</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Pinkanjanarod_S/0/1/0/all/0/1">Sitthichai Pinkanjanarod</a>

The quadrupole normal-mode oscillation frequency $f_{n}$ of multiquark star

are computed for $n=1-5$. At the transition from low to high density multiquark

in the core region, the first 2 modes jump to larger values, a distinctive

signature of the presence of the high-density core. When the star oscillation

couples with spacetime, gravitational waves~(GW) will be generated and the star

will undergo damped oscillation. The quasinormal modes~(QNMs) of the

oscillation are computed using two methods, direct scan and WKB, for QNMs with

small and large imaginary parts respectively. The small imaginary QNMs have

frequencies $1.5-2.6$ kHz and damping times $0.19-1.7$ secs for multiquark star

with mass $M=0.6-2.1 M_{odot}$~(solar mass). The WKB QNMs with large imaginary

parts have frequencies $5.98-9.81$ kHz and damping times $0.13-0.46$ ms for

$Msimeq 0.3-2.1 M_{odot}$. They are found to be the fluid $f-$modes and

spacetime curvature $w-$modes respectively.

The quadrupole normal-mode oscillation frequency $f_{n}$ of multiquark star

are computed for $n=1-5$. At the transition from low to high density multiquark

in the core region, the first 2 modes jump to larger values, a distinctive

signature of the presence of the high-density core. When the star oscillation

couples with spacetime, gravitational waves~(GW) will be generated and the star

will undergo damped oscillation. The quasinormal modes~(QNMs) of the

oscillation are computed using two methods, direct scan and WKB, for QNMs with

small and large imaginary parts respectively. The small imaginary QNMs have

frequencies $1.5-2.6$ kHz and damping times $0.19-1.7$ secs for multiquark star

with mass $M=0.6-2.1 M_{odot}$~(solar mass). The WKB QNMs with large imaginary

parts have frequencies $5.98-9.81$ kHz and damping times $0.13-0.46$ ms for

$Msimeq 0.3-2.1 M_{odot}$. They are found to be the fluid $f-$modes and

spacetime curvature $w-$modes respectively.

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