HAWKING RADIATION OF DIRAC PARTICLES FROM A GENERAL DYNAMICAL SPHERICALLY SYMMETRICAL BLACK HOLE USING A NEW TORTOISE COORDINATE TRANSFORMATION

By utilizing the improved Damour–Ruffini method with a new tortoise transformation, we study the Hawking radiation of Dirac particles from a general dynamical spherically symmetric black hole. In the improved Damour–Ruffini method, the position of the event horizon of the black hole is an undetermined function, and the temperature parameter κ is an undetermined constant. By requiring the Dirac equation to be the standard wave equation near the event horizon of the black hole, κ can be determined automatically. Therefore, the Hawking temperature can be obtained. The result is consistent with that of the Hawking radiation of scalar particles.