Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tidal deformability and I-Love-Q relations for gravastars with
  polytropic thin shells   The moment of inertia, the spin-induced quadrupole moment, and the tidal Love
number of neutron-star and quark-star models are related through some relations
which depend only mildly on the stellar equation of state. These "I-Love-Q"
relations have important implications for astrophysics and gravitational-wave
astronomy. An interesting problem is whether similar relations hold for other
compact objects and how they approach the black-hole limit. To answer these
questions, here we investigate the deformation properties of a large class of
thin-shell gravastars, which are exotic compact objects that do not possess an
event horizon nor a spacetime singularity. Working in a small-spin and
small-tidal field expansion, we calculate the moment of inertia, the quadrupole
moment, and the (quadrupolar electric) tidal Love number of gravastars with a
polytropic thin shell. The I-Love-Q relations of a thin-shell gravastar are
drastically different from those of an ordinary neutron star. The Love number
and quadrupole moment are negative for less compact models and the I-Love-Q
relations continuously approach the black-hole limit. We consider a variety of
polytropic equations of state for the matter shell, and find no universality in
the I-Love-Q relations. However, we cannot deny the possibility that, similarly
to the neutron-star case, an approximate universality might emerge for a
limited class of equations of state. Finally, we discuss how a measurement of
the tidal deformability from the gravitational-wave detection of a
compact-binary inspiral can be used to constrain exotic compact objects like
gravastars.

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The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph