Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multipole Love Relations   Gravitational-wave observations in the near future may allow us to measure
tidal deformabilities of neutron stars, which leads us to the understanding of
physics at nuclear density. In principle, the gravitational waveform depends on
various tidal parameters, which correlate strongly. Therefore, it would be
useful if one can express such tidal parameters with a single parameter. Here,
we report on universal relations among various $\ell$-th (dimensionless)
electric, magnetic and shape tidal deformabilities in neutron stars and quark
stars that do not depend sensitively on the equation of state. Such relations
allow us to break the degeneracy among the tidal parameters. In this paper, we
focus on gravitational waves from non-spinning neutron-star binary inspirals.
We first derive the leading contribution of the $\ell$-th electric and $\ell=2$
magnetic tidal deformabilities to the gravitational-wave phase, which enters at
$2\ell +1$ and $6$ post-Newtonian orders relative to the leading Newtonian one
respectively. We then calculate the useful number of gravitational-wave cycles
and show that not only the $\ell=2$ but also $\ell=3$ electric tidal
deformabilities are important for parameter estimation with third-generation
gravitational-wave detectors such as LIGO III and Einstein Telescope. Although
the correlation between the $\ell=2$ and $\ell=3$ electric tidal
deformabilities deteriorate the measurement accuracy of the former
deformability parameter, one can increase its measurement accuracy
significantly by using the universal relation. We provide a fitting formula for
the LIGO III noise curve in the Appendix.

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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: dg-ga