Short Gamma rays bursts from binary black holes merger

In this paper, we introduced a model related to the astronomical events having the co-detection of GW associated with Short Gamma Ray Bursts (SGRBs). Study shows that the existence of magnetized accretion disks is responsible for creating the events of GWs associated with electromagnetic (EM) counterparts from binary BHs mergers. Our model leads from space-time instability to the emission of EM radiations as its counterparts. Starting from Maxwell's stress tensor, we found the condition for the growth of instability that is proportional to the angular velocity and is independent of the magnetic field strength. Considering the event GW150914 with the final product as a Kerr BHs in an equatorial plan, we discussed the motion of particles under an effective potential on circular orbits around it and determined its frequency, redshift factor, and epicyclic frequency. Next, considering the evolution of mass and angular momentum, we calculated the remnant mass, rotational energy, and the magnetic field strength acting along the axis of rotation. The accretion rate and its luminosity are determined by the restoring and shear forces of the magnetic field. The energy extraction efficiency of the flow is determined to be very low. Results show the presence of a weak transient caused by magneto-rotational instability with a strong poloidal magnetic field that causes turbulence in the accretion disk onto black holes.