The conical singularity method and the energy-momentum tensor near the black hole horizon using the kruskal coordinates

摘要

We apply the conical singularity method to the two-dimensional version of the Schwarzschild metric to obtain the Kruskal coordinates of the black hole in a very simple and direct way. Then we make use of this metric in an approximated version and calculate the expected value of energy momentum tensor of a massless quantum field near the horizon, resulting in regular expressions for its components.