Gravitational waves from dark matter collapse in a star

Abstract

We investigate the collapse of clusters of weakly interacting massive particles (WIMPs) in the core of a Sun-like star and the possible formation of mini-black holes and the emission of gravitational waves. When the number of WIMPs is small, thermal pressure balances the WIMP cluster's self gravity. If the number of WIMPs is larger than a critical number, thermal pressure cannot balance gravity and the cluster contracts. If WIMPs are collisionless and bosonic, the cluster collapses directly to form a mini-black hole. For fermionic WIMPs, the cluster contracts until it is sustained by Fermi pressure, forming a small compact object. If the fermionic WIMP mass is smaller than $4\times 10^2$ GeV, the radius of the compact object is larger than its Schwarzschild radius and Fermi pressure temporally sustains its self gravity, halting the formation of a black hole. If the fermionic WIMP mass is larger than $4\times 10^2$ GeV, the radius is smaller than its Schwarzschild radius and the compact object becomes a mini-black hole. If the WIMP mass is 1 TeV, the size of the black hole will be approximately 2.5 cm and ultra high frequency gravitational waves will be emitted during black hole formation. The central frequency $f_c$ of ringdown gravitational waves emitted from the black hole will be approximately 2 GHz. To detect the ringdown gravitational waves, the detector's noise must be below $\sqrt{S_h(f_c)}\approx 10^{-30}/\sqrt{\mathrm{Hz}}$.

25 pages, 5 figures, typos corrected, comments added. Version accepted by PRD

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• Revisiting primordial black holes capture into neutron stars
• Gravitational Waves from Orphan Memory
• On the R-Process Enrichment of Dwarf Spheroidal Galaxies
• Celestial Objects as Strongly-Interacting Non-Annihilating Dark Matter Detectors
• Anisotropic Dark Matter Stars
• Detecting Asymmetric Dark Matter in the Sun with Neutrinos
• Gravitational-wave Emission from a Primordial Black Hole Inspiraling inside a Compact Star: a Novel Probe for Dense Matter Equation of State
• Exploring non-radial oscillation modes in dark matter admixed neutron stars
• Optimal Celestial Bodies for Dark Matter Detection
• Stability and Observability of Magnetic Primordial Black Hole-Neutron Star Collisions
• Neutrino signals from Neutron Star implosions to Black Holes
• Tidal effects on primordial black hole capture in neutron stars
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
• Revisiting constraints on asymmetric dark matter from collapse in white dwarf stars
• Astroparticle physics with compact objects