Thermodynamics and shadow images of charged black holes in Horava-Lifshitz gravity

Abstract

The aim of the paper is twofold: First, we generalize the non-relativistic Horava-Lifshitz four-dimensional black hole solution to include the electric charge to show a correspondence with the charged AdS solution in four-dimensional Einstein Gauss-Bonnet theory, and then we explore the phenomenological aspects of this black hole solution. Among other things, we point out a close connection with the GUP, explore various properties of this solution such as the entropy, Hawking temperature, free energy, pressure, critical pressure, critical temperature, critical entropy, and the horizon properties. Moreover by considering Jules Thompson's expansion of this black hole, we calculate the inversion temperature and, using Stefan-Boltzmann's law, we examine the changes in the black hole mass over time. To this end, we also study the shadow images and the electromagnetic intensity using infalling and static radiating gas. It is shown that although the optical appearance of the black hole does not change too much, the shadow radius increases by increasing the parameter w; on the other hand, the size of the shadow radius decreases by increasing the electric charge.