https://doi.org/10.1140/epjc/s10052-025-13862-2
Regular Article - Theoretical Physics
Dark I-Love-Q
1
School of Astronomy and Space Science, University of Chinese Academy of Sciences (UCAS), 100049, Beijing, China
2
Department of Physics and Institute for Quantum Science and Technology, Shanghai University, 99 Shangda Road, 200444, Shanghai, China
3
Shanghai Key Lab for Astrophysics, 200234, Shanghai, China
4
Shanghai Key Laboratory of High Temperature Superconductors, 200444, Shanghai, China
Received:
8
December
2024
Accepted:
19
January
2025
Published online:
4
February
2025
For neutron stars, there exist universal relations insensitive to the equation of states, the so called I-Love-Q relations, which show the connections among the moment of inertia, tidal Love number and quadrupole moment. In this paper, we show that these relations also apply to dark stars, bosonic or fermionic. The relations can be extended to higher ranges of the variables, clarifying the deviations for dark stars in the literature, as those curves all approximate the ones generated by a polytropic equation of state, when taking the low density (pressure) limit. Besides, we find that for equation of states with scaling symmetries, the I-Love-Q curves do not change when adjusting the scaling parameters.
© The Author(s) 2025
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