Tidal deformability of strange quark planets and strange dwarfs

Strange quark matter, which is composed of u, d, and s quarks, could be the true ground state of matter. According to this hypothesis, compact stars may actually be strange quark stars, and there may even be stable strange quark dwarfs and strange quark planets. The detection of the binary neutron star merger event GW170817 provides us new clues on the equations of state of compact stars. In this study, the tidal deformabilities of strange quark planets and strange quark dwarfs are calculated. It is found to be smaller than that of normal matter counterparts. For a typical $0.6\text{ }\text{ }{M}_{\ensuremath{\bigodot}}$ compact star, the tidal deformability of a strange dwarf is about 1.4 times less than that of a normal white dwarf. The difference is even more significant between strange quark planets and normal matter planets. Additionally, if the strange quark planet is a bare one (i.e., not covered by a normal matter curst), the tidal deformability will be extremely small, which means bare strange quark planets will hardly be distorted by tidal forces. Our study clearly proves the effectiveness of identifying strange quark objects via searching for strange quark planets through gravitational wave observations.