Stochastic gravitational wave background from newly born massive magnetars: The role of a dense matter equation of state

Abstract

Newly born massive magnetars are generally considered to be produced by binary neutron star (NS) mergers, which could give rise to short gamma-ray bursts (SGRBs). The strong magnetic fields and fast rotation of these magnetars make them promising sources for gravitational wave (GW) detection using ground based GW interferometers. Based on the observed masses of Galactic NS-NS binaries, by assuming different equations of state (EOSs) of dense matter, we investigate the stochastic gravitational wave background (SGWB) produced by an ensemble of newly born massive magnetars. The massive magnetar formation rate is estimated through: (i) the SGRB formation rate (hereafter entitled as MFR1); (ii) the NS-NS merger rate (hereafter entitled as MFR2). We find that for massive magnetars with masses $M_{\mathrm{mg}}=2.4743M_{\odot }$, if EOS CDDM2 is assumed, the resultant SGWBs may be detected by the future Einstein Telescope (ET) even for MFR1 with minimal local formation rate, and for MFR2 with a local merger rate ${\dot{\rho }}_{\mathrm{c}}^{\mathrm{o}}(0)\lesssim 10$ ${\mathrm{Mpc}}^{-3}{\mathrm{Myr}}^{-1}$. However, if EOS BSk21 is assumed, the SGWB may be detectable by the ET for MFR1 with the maximal local formation rate. Moreover, the background spectra show cutoffs at about 350 Hz in the case of EOS BSk21, and at 124 Hz for CDDM2, respectively. We suggest that if the cutoff at $\sim 100$ Hz in the background spectrum from massive magnetars could be detected, then the quark star EOS CDDM2 seems to be favorable. Moreover, the EOSs, which present relatively small TOV maximum masses, would be excluded.

8 pages, 4 figures, Phys. Rev. D in press

References in corpus (18)

• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Short Duration Gamma-Ray Bursts with Extended Emission from Proto-Magnetar Spin-Down
• The dynamical mass ejection from binary neutron star mergers: Radiation-hydrodynamics study in general relativity
• Modelling magnetically deformed neutron stars
• Magnetized Neutron Star Mergers and Gravitational Wave Signals
• Multi-messenger picture of compact binary mergers
• Evolution of magnetized, differentially rotating neutron stars: Simulations in full general relativity
• GRB afterglow plateaus and Gravitational Waves: multi-messenger signature of a millisecond magnetar?
• Possible Evidence for Free Precession of a Strongly Magnetized Neutron Star in the Magnetar 4U 0142+61
• The X-ray afterglow of the short gamma ray burst 050724
• Gravitational waves from massive magnetars formed in binary neutron star mergers
• Gravitational-wave confusion background from cosmological compact binaries: Implications for future terrestrial detectors
• Neutron star deformation due to poloidal-toroidal magnetic fields of arbitrary multipole order: a new analytic approach
• Gravitational wave background from rotating neutron stars
• Stochastic Gravitational Wave Background from Neutron Star r-mode Instability Revisited
• Detection regimes of the cosmological gravitational wave background from astrophysical sources
• How can newly born rapidly rotating neutron stars become magnetars?
• Could strange stars be in the color-flavor-locked phase: Tested by their thermal evolutions

Cited by in corpus (12)

• Stochastic Gravitational Wave Backgrounds
• Science with the TianQin Observatory: Preliminary Results on Stochastic Gravitational-Wave Background
• Towards the Design of Gravitational-Wave Detectors for Probing Neutron-Star Physics
• Gravitational waves or deconfined quarks: what causes the premature collapse of neutron stars born in short gamma-ray bursts?
• Could the low braking index pulsar PSR J1734-3333 evolve into a magnetar?
• Reinvestigation of the electron fraction and electron Fermi energy of neutron star
• Probing the physics of newly born magnetars through observation of superluminous supernovae
• Stochastic Gravitational Wave Background from PBH-ABH Mergers
• r-mode instability of neutron stars in low-mass X-ray binaries: effects of Fermi surface depletion and superfluidity of dense matter
• On the initial spin periods of magnetars born in weak supernova explosions and their gravitational wave radiation
• Could the stochastic gravitational wave background from newborn magnetars be detected by the advanced LIGO and Einstein Telescope?
• Stochastic Gravitational-Wave Background from Stellar Core-Collapse Events