Abstract

Magnetars have already been a potential candidate as gravitational wave sources that could be detected by current and future terrestrial as well as ground-based gravitational wave detectors. In this article, we focus on the gravitational wave emission from the distorted rotating neutron stars. The deformation is assumed to be symmetric around an axis that is perpendicular to the rotation axis. The form is applied in the context of a neutron star whose magnetic field has been deformed on its own. By introducing the effects from all magnetars in the Universe, based on various proposed magnetic field configurations, such as poloidal and toroidal, the stochastic gravitational wave background can be generated. We choose to figure out exactly how the observations of the stochastic gravitational wave background should be used to understand much more about physics correlated with the magnetar behavior, based on the restriction on the ellipticity of the magnetar.

Highlights

  • The detection of gravitational waves (GWs) was achieved by the Advanced LIGO and VIRGO team [1,2,3,4,5,6,7,8], and the presence of GWs is estimated by Einstein’s general relativity

  • The stochastic gravitational wave background (SGWB) could be cosmological, arising in various inflationary models [12,13,14] or cosmic string models [15,16,17]; it could be astrophysical because of the superposition of waves generated by many astrophysical sources, e.g., compact binary coalescences (CBCs) [18,19,20,21]; or it could be from neutron stars [22,23] or initial instabilities [24,25,26]

  • Binary neutron star mergers with multi messengers, such as GWs and electromagnetic counterparts of the signals, are studied to estimate the Hubble constant, which measures the rate of expansion of the Universe, and to study the behaviour of the matter which are denser than an atomic nucleus [27]

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Summary

Introduction

The detection of gravitational waves (GWs) was achieved by the Advanced LIGO and VIRGO team [1,2,3,4,5,6,7,8], and the presence of GWs is estimated by Einstein’s general relativity. The strong magnetic field introduced induced a quadrupolar deformation in the magnetar structure, generating GWs during its rapid spinning, in addition to driving the powerful electromagnetic radiation that enabled observation of these objects. The magnetic fields of neutron stars are known to be substantial Another reason for considering the mechanism of asymmetries is the advancement of non-axisymmetric instabilities.

SGWB Model
Configuration of Magnetars
Poloidal Field Configuration
Twisted-Torus Magnetic Field Configuration
Conclusions
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