Fuzzy Dark Matter in Relativistic Stars

TL;DR

This paper investigates the structure of relativistic stars containing fuzzy dark matter (FDM) by applying observationally constrained equations of state for both visible matter and FDM, using a two-fluid formalism.

Contribution

It introduces a comprehensive model for FDM in relativistic stars using observationally constrained equations of state and a two-fluid formalism, extending previous theoretical studies.

Findings

FDM can be incorporated into relativistic star models with observationally constrained EoS.

The structure of FDM-admixed stars depends on the properties of both visible matter and FDM.

The model provides a framework for future observational tests of FDM in compact stars.

Abstract

Fuzzy dark matter (FDM), a practical alternative to cold dark matter, can exist in compact stars. Here, applying the FDM equation of state (EoS) constrained by CMB and large-scale structure data, we calculate the structure of relativistic stars in the presence of FDM. For this aim, the EoS for the visible matter in neutron stars, quark stars, and hybrid stars from the observational data are employed. A piecewise polytropic EoS constrained by the observational data of GW170817 and the data of six low-mass X-ray binaries with thermonuclear burst or the symmetry energy of the nuclear interaction describes the neutron star matter. For quark star matter, we apply the EoSs within the Bayesian statistical approach using the mass and radius measurements of PSR J0030+0451 from NICER. Employing the two-fluid formalism, we study the structure of FDM admixed relativistic stars.