Rescaling strange-cluster stars and its implications on gravitational-wave echoes

Abstract

Solid states of strange-cluster matter called strangeon matter can form strangeon stars that are highly compact. We show that strangeon matter and strangeon stars can be recast into dimensionless forms by a simple reparametrization and rescaling, through which we manage to maximally reduce the number of degrees of freedom. With this dimensionless scheme, we find that strangeon stars are generally compact enough to feature a photon sphere that is essential to foster gravitational-wave (GW) echoes. Rescaling the dimension back, we illustrate its implications on the expanded dimensional parameter space, and calculate the GW echo frequencies associated with strangeon stars, showing that the minimum echo frequency is $\sim 8$ kHz for empirical parameter space that satisfies the GW170817 constraint, and can reduce to $\mathcal{O}(100)$ Hertz at the extended limit.

8 pages, 6 figures. Published version. Typo fixed

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• Bayesian inference of strangeon matter using the measurements of PSR J0437-4715 and GW190814
• On the energy budget of starquake-induced repeating fast radio bursts
• Free Energy of Anisotropic Strangeon Stars
• Strangelets at finite temperature: nucleon emission rates, interface and shell effects
• Study of hybrid stars with nonstrange quark matter cores