The I-Love universal relation for polytropic stars under Newtonian gravity
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arXiv
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| Format: | Preprint |
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2025
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| author | Xu, Rui Torres-Orjuela, Alejandro Andersson, Lars Seoane, Pau Amaro |
| author_facet | Xu, Rui Torres-Orjuela, Alejandro Andersson, Lars Seoane, Pau Amaro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07184 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The I-Love universal relation for polytropic stars under Newtonian gravity Xu, Rui Torres-Orjuela, Alejandro Andersson, Lars Seoane, Pau Amaro General Relativity and Quantum Cosmology Earth and Planetary Astrophysics Solar and Stellar Astrophysics 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. |
| title | The I-Love universal relation for polytropic stars under Newtonian gravity |
| topic | General Relativity and Quantum Cosmology Earth and Planetary Astrophysics Solar and Stellar Astrophysics |
| url | https://arxiv.org/abs/2501.07184 |