Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $f$-mode oscillations of compact stars in dynamical spacetimes: Equation
  of state dependencies and universal relations studies   In this article, we study the fundamental ($f$-)modes of non-rotating compact
stars with realistic equations of state (EoS), extracted in the dynamical
spacetime using numerical relativity simulations. We use a set of EoS with
varying degree of stiffness and numerically evolve perturbed stellar models for
several mass configurations (in the range of $1.2 - 2.0$ $M_{\odot}$) for each
of these EoS. We observe the $f$-mode frequency is lower for the stiffer EoS,
and it increases linearly with the square root of mean density for each set of
EoS. We notice that the frequencies are distinguishable for soft, intermediate
and stiffer EoS, thus it might be possible to constrain the EoS based on the
detected signal frequency from the binary neutron star merger. More
specifically for the softer EoS, the $f$-mode frequency is in the range of
$1.8-2.2$ kHz for the masses between $1.2-1.8 M_{\odot}$. On the other hand, in
the case of stiffer EoS, such as 'BHB' and 'DD2' frequency is shifted to lower
values $1.55-1.8$ kHz for the same mass range. We also compare our single
perturbed star simulation with recently studied binary simulations and find a
good agreement.

29
The categories of this paper are: funct-an
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph