Lorentz invariance violation and corrections to the entropy of higher-dimensional black holes

In curved space–time, the dynamical equation of spinor fields is modified to account for Lorentz invariance violation (LIV). Based on the modified fermion dynamical equation, the quantum tunneling radiation properties of spin-1/2 fermions near the event horizon of higher-dimensional black holes are investigated. Focusing on the specific features of higher-dimensional Schwarzschild–de Sitter black hole and higher-dimensional Kerr–Anti-de Sitter black hole, this work explores the LIV-induced corrections to the Hawking temperature and the black hole entropy at the horizons of such black holes. New expressions are obtained for important black hole thermodynamic quantities, including the relation between the quantum tunneling rate and Hawking temperature, as well as the Bekenstein–Hawking entropy.