Effect of modified gravity on the Hawking evaporation of charged AdS black holes

Abstract

We study the impact of rainbow and Einstein bumblebee modified theories of gravity on the Hawking evaporation process of the black holes. After evaluating the basic thermodynamical quantities, we find out impact parameter b = (angular momentum )/(energy of the emitted particles), which control the emission of the particles and the photon orbit of the black hole in modified theories of gravity. We utilize the well-known Stefan-Boltzmann law to obtain the relationship of black hole mass M against its lifetime t. The numerical results of black hole mass versus lifetime t show that initially the mass of black hole in modified gravity decreases rapidly and later evaporation process becomes slower when temperature reduces to zero. The black hole requires huge time to fully evaporate which is consistent result with 3rd law of thermodynamics for black holes. We observe that increasing values of AdS length l increases evaporation time and increasing value of rainbow parameter η results in slowing down the evaporation process. Moreover, we analyze that uncharged black holes evaporate quickly as compared to charged black hole and black hole in higher dimensions required huge time to fully evaporate as compared to black hole in small dimensions.