Effects of Lorentz symmetry violation on P − v criticality of Vaidya–Bonner–de Sitter black hole

In this paper, we investigate the influence of Lorentz symmetry violation theory on the tunneling of scalar particles near the event horizon of Vaidya–Bonner–de Sitter (VBdS) black hole. Using the modified Hamilton–Jacobi equation, the tunneling rate and corrected Hawking temperature are derived. The corrected Hawking temperature is dependent on the Lorentz symmetry violation parameter [Formula: see text]. Treating the cosmological constant [Formula: see text] and its conjugate quantity as a thermodynamic pressure and volume, we also discuss the [Formula: see text] criticality and critical points. The Lorentz symmetry violation theory doesn’t change the critical pressure and volume but it modifies the critical temperature. The critical exponents also remain the same as that of Van der Waals liquid-gas system. The stability of the black hole is discussed by using heat capacity and Gibbs free energy. We also perform entropy correction due to the influence of Lorentz symmetry violation theory.