Tunneling of scalar particles across the event horizon of Kerr–Newman black hole surrounded by quintessence in the presence of Lorentz symmetry violation

In this paper, we study the effects of Lorentz symmetry violation on the tunneling of scalar particles across the event horizon of Kerr–Newman black hole surrounded by quintessence. By solving the modified Hamilton–Jacobi equation in Lorentz violation theory in curved space–time and separating the variables, the radial equation of motion of the tunneling particle is obtained. By using near horizon approximation and residue theorem, we calculate the action of the tunneling particle and determine the modified Hawking temperature. It has been noted that for a specific value of the quintessence field parameter [Formula: see text], the Hawking temperature, entropy and heat capacity of the Kerr–Newman black hole are influenced not only by the characteristics of the black hole and the particles it emits, but also by the Lorentz violation parameter [Formula: see text] and the aether-like vectors [Formula: see text]. The variation of the Hawking temperature with and without the consideration of Lorentz symmetry violation is analyzed for quintessence field parameters [Formula: see text], [Formula: see text] and [Formula: see text]. The entropy of a Kerr–Newman black hole is evaluated under the influence of Lorentz symmetry violation specifically for [Formula: see text]. The conditions for the stability of the black hole in the presence of Lorentz symmetry violation for different values of [Formula: see text] are studied. Formation of remnant of the black hole is also studied.