TL;DR
This paper explores universal relations involving the gravimagnetic Love number of irrotational stars and their moment of inertia, extending the I-Love-Q relations to include internal fluid motion effects.
Contribution
It introduces the first calculation of the gravitomagnetic Love number for realistic equations of state and extends the I-Love-Q relations to the gravitomagnetic sector.
Findings
Established universal relations between gravimagnetic Love number and moment of inertia.
First computation of gravitomagnetic Love number for realistic stellar equations of state.
Extended the I-Love-Q framework to include internal fluid motion effects.
Abstract
In this short note, we investigate the existence of universal relations between the gravimagnetic Love number of irrotational stars and the dimensionless moment of inertia. These Love numbers take into account the internal motion of the fluid, while the star is globally irrotational. The goal is to extend the so-called I-Love-Q relations - providing a strong correlation between the gravitoelectric Love number, the dimensionless moment of inertia and the dimensionless rotation-induced quadrupole - to the gravitomagnetic sector, where internal motion is taken into account. As a byproduct, we present for the first time this new gravitomagnetic Love number for realistic equations of state.
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Taxonomy
TopicsCosmology and Gravitation Theories · Pulsars and Gravitational Waves Research · Black Holes and Theoretical Physics