Dyadosphere Space-Time of a Charged Black Hole in the Rainbow Gravity and Energy Distribution

One is prompted to examine an energy-dependent space-time with significant distortion of standard general relativity through a breach of the Lorentz invariance in high-energy quantum gravity. The present study explores how the energy of a test particle influences the energy density of a charged black hole in the framework of rainbow gravity. In this context, the focus is on investigating the dyadosphere of the black hole, where the space-time fabric is influenced by the energy of the test particle. We also employ graphical analysis to visually illustrate the variations in the black hole’s energy density defined within the framework of the quantum gravity perspective.