Quantum nonthermal effect of the Vaidya–Bonner–de Sitter black hole

Abstract

Using the Hamilton–Jacobi equation of a scalar particle in the curve space-time and a correct-dimension new tortoise coordinate transformation, the quantum nonthermal radiation of the Vaidya–Bonner–de Sitter black hole is investigated. The energy condition for the occurrence of the Starobinsky–Unruh process is obtained. The event horizon surface gravity and the Hawking temperature on the event horizon are also given.

Keywords

quantum nonthermal radiation / Hamilton–Jacobi equation / new tortoise coordinate transformation / Vaidya–Bonner–de Sitter black hole