Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Completion of the universal I-Love-Q relations in compact stars
  including the mass   In a recent paper we applied a rigorous perturbed matching framework to show
the amendment of the mass of rotating stars in Hartle's model. Here, we apply
this framework to the tidal problem in binary systems. Our approach fully
accounts for the correction to the Love numbers needed to obtain the universal
$I$-Love-$Q$ relations. We compute the corrected mass vs radius configurations
of rotating quark stars, revisiting a classical paper on the subject. These
corrections allow us to find a universal relation involving the second-order
contribution to the mass $\delta M$. We thus complete the set of universal
relations for the tidal problem in binary systems, involving four perturbation
parameters, namely $I$, Love, $Q$, and $\delta M$. These relations can be used
to obtain the perturbation parameters directly from observational data.

16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin