Kavli Affiliate: Pau Amaro Seoane
| First 5 Authors: Rui Xu, Alejandro Torres-Orjuela, Lars Andersson, Pau Amaro Seoane,
| Summary:
The moment of inertia and tidal deformability of idealized stars with
polytropic equations of state (EOSs) are numerically calculated under both
Newtonian gravity and general relativity (GR). The results explicitly confirm
that the relation between the moment of inertia and tidal deformability,
parameterized by the star’s mass, exhibits variations of 1% to 10% for
different polytropic indices in Newtonian gravity and GR, respectively. This
indicates a more robust I-Love universal relation in the Newtonian framework.
The theoretically derived I-Love universal relation for polytropic stars is
subsequently tested against observational data for the moment of inertia and
tidal deformability of the 8 planets and some moons in our solar system. The
analysis reveals that the theoretical I-Love universal relation aligns well
with the observational data, suggesting that it can serve as an empirical
relation. Consequently, it enables the estimation of either the moment of
inertia or the tidal deformability of an exoplanet if one of these quantities,
along with the mass of the exoplanet, is known.
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