5th Strathmore International Mathematics Conference (SIMC 2019)

6 / 2019-04-24 16:50:06

Equivalence of two geometric mechanisms for the generation of Hawking radiation

conformal transformation, Hawking radiation

In this paper, we studied two geometric mechanisms that generate Hawking radiation and we also showed these two mechanisms are equivalent. The first one showed that Hawking radiation is produced by coordinate transformation from original space-time and the most important point is "information missing" which means the new coordinate can not cover the whole physical complete space-time and horizon will show up in the new space-time. The second one showed that the new space-time is conformal to the old one, which causes the change of the coordinate's scale due to conformal factor $\Omega ^2$. We thought these two ideas are equivalent and conformal transformation is the bridge of them. The generation of horizon must generate the change of vacuum level.