1.) To calculate and extend the analysis in order to derive rigorous bounds for the greybody factors of the four-dimensional Reissner- black holes, the higher dimensional Schwarzschild-Tangherlini black holes, the charged dilatonic black holes in (2 + 1) dimensions, and the charged dilatonic black holes in (3 + 1) dimensions.
2.) To investigate what factors have an effect on the greybody factors.
3.) To calculate and derive the rigorous bounds for the greybody factor --- various bounds for the greybody factors of non-rotating black holes, primarily concentrating on charged Reissner- and Reissner- -de Sitter black holes by using a transfer matrix formalism
4.) To compare the transfer matrix method with the WKB approximation and the matching techniques.
5.) To apply this technique to other black holes (with rotation and charge black holes).
6.) To nurture and develop graduate students with interest in general relativity research, in cosmology and astrophysics.
7.) To report scientific progress to the physics, mathematics, as well as the general relativity and the astrophysics communities by publishing in an international journal.
