The shadow and gamma-ray bursts of a Schwarzschild black hole in asymptotic safety

The effects and rules of the dimensionless parameter xi on neutrino annihilation nu+nu<overline>-> e-+e+ dominated gamma-ray bursts are analysed and investigated within the context of black holes in asymptotic safety. We also computationally model photon orbits around black holes, as photons and neutrinos have the same geodesic equations near black holes. We show that the black hole shadow radius decreases with increasing xi. Calculations are made to determine the temperature of the accretion disk surrounding the black hole and the ratio Q/QNewt of energy deposition per unit time and compared to that of the Newtonian scenario. The accretion disk temperature peaks at a higher temperature due to quantum gravity corrections, which increases the probability of neutrino emission from the black hole. It is interesting to note that larger quantum gravity effects cause the ratio value to significantly decline. In the neutrino-antineutrino annihilation process, the energy deposition rate is sufficient even while the energy conversion is inhibited because of quantum corrections. Gamma-ray bursts might originate from the corrected annihilation process. Additionally, we examine the derivative dQ/dr about the star radius r. The findings demonstrate that the ratio is lowered by the black hole's quantum influence. The neutrino pair annihilation grows weaker the more prominent the influence of quantum gravity.