Physical properties of compact star-like systems harboring traversable wormholes: Effects of chaotic magnetic fields and anisotropic matter
We formulate exotic compact objects in form of compact star-like systems harboring traversable wormhole (CSSTW) with chaotic magnetic field and pressure anisotropy of the neutron fluid. The wormhole is traversable regardless of whether anisotropy of the neutron fluid and/or magnetic fields are included. For magnetized configurations, the resulting CSSTW can become extremely massive, with ADM masses exceeding $8\,M_\odot$, and can exhibit large surface redshifts exceeding $\mathcal{Z} \simeq 1.5$. The system can also reach the ultracompact regime, which allows us to calculate echo time that might be produced by the systems. Echo times of considered CSSTW vary depending on the chaotic magnetic field configuration and fluid anisotropy. For non-magnetized configurations, the gravitational-wave echo time is of the order of $10^{-2}-10^{-1}$ ms. For the magnetized configurations, however, it ranges from the order of $10^{-1}$ $μ$s $-10^{-1}$ ms Moreover, we derive an explicit expression for the echo time as a function of uniform magnetic field. The resulting relation shows that the echo time decreases as the magnetic field strength increases. The stability analysis of radial perturbations shows that the ultracompact non-magneized CSSTW are prone to be unstable. For magnetized CSSTW, all considered configurations with a surface magnetic field of $B_s=10^{15}$ G are stable.