Type of Thesis
The purpose of this thesis is to calculate the Hawking temperature for a Schwarzschild black hole, using the gravitational WKB approximation, in the local coordinate frame of the near horizon approximation. Although tunneling models of Hawking radiation have been able to reproduce Hawkings original temperature calculation for a number of different coordinate choices, the coordinates of the near horizon approximation still have not been used to calculate a temperature that is consistent with Hawkings original calculation. In this thesis, it is shown that the Hawking temperature can be calculated from the near horizon approximation to yield a result that is consistent with Hawking. This is done by using a sequence of coordinate transformations that make the metric compatible with the gravitational WKB approximation.
Dobrian, Tristan, "Hawking Radiation with the WKB and Graviational WKB approximations" (2017). Undergraduate Honors Theses. 1496.