Abstract
<p indent=0mm>Recently, it has been found that there is a relationship between the moment of inertia <italic>I</italic> and gravitational quadrupole moment <italic>Q</italic> of a neutron star, which is well-known as the <italic>I-Q</italic> relation of a neutron star. Specifically, the <italic>I-Q</italic> relation is found to be independent of the state equation of matter inside a neutron star and is only related to gravitational theories. Therefore, this <italic>I-Q</italic> relation can be used to test gravitational theories. The dRGT massive gravity is a well-defined modified gravity with massive graviton, which has attracted considerable attention. In this study, we mainly investigate the <italic>I-Q</italic> relation of a neutron star affected by massive graviton in the dRGT massive gravity. By focusing on a slow rotational neutron star, and using the state equation of matter inside the star with <italic>n</italic>=0 case in the polytropic process, we analytically obtain the <italic>I-Q</italic> relation under the Newtonian limit of neutron stars in the dRGT massive gravity. We compare our results with those in Einstein gravity, and obtain that the <italic>I-Q</italic> relation still holds in the presence of massive graviton. However, the proportional coefficient of the <italic>I-Q</italic> relation is dependent on the graviton mass parameter <italic>m</italic>.
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