Hawking Radiation of Dirac Field in the Linear Dilaton Black Hole

By studying the perturbation of massless Dirac field in the background of linear dilaton black hole we show that the covariant Dirac equation can be separated into radial and angular equations. The Damour–Ruffini method is applied to derive the spectrum of Hawking radiation for the Dirac field, from which the Hawking temperature can be read off. It is shown that the Hawking temperature is consistent with the result calculated from the surface gravity.