Motivated by the violation of Lorentz invariance
in quantum gravity, we study black hole solutions in gravity’s rainbow in the context of Einstein gravity coupled with
various models of nonlinear electrodynamics. We regard an
energy dependent spacetime and obtain the related metric
functions and electric fields. We show that there is an essential singularity at the origin which is covered by an event horizon. We also compute the conserved and thermodynamical
quantities and examine the validity of the first law of thermodynamics in the presence of rainbow functions. Finally,
we investigate the thermal stability conditions for these black
hole solutions in the context of canonical ensemble. We show
that the thermodynamical structure of the solutions depends
on the choices of nonlinearity parameters, charge, and energy
functions
کلید واژگان :
nonlinearly charged b lack holes, gravity's rainbow
