Damour-Ruffini and Unruh theories of the Hawking effect

Abstract

Internal relations between the Damour-Ruffini approach and the Unruh approach to dealing with the Hawking effects are shown. The Unruh-type analytical wave functions can be obtained by means of the analytical continuation method suggested by Damour and Ruffini. In fact, Unruh-type analytical wave functions are complex conjugate functions of Damour-Ruffini type. Normalizing each of them, or making use of them to construct the Bogoliubov transformation, one can get the same Hawking thermal spectrum. The pure state wave function defined on the connected complexr space-time manifold is a mixture showing thermal properties in the realr space-time manifold, which is divided into two parts by the event horizon.