Open Access Journal of Applied Science and Technology(OAJAST)
ISSN: 2993-5377 | DOI: 10.33140/OAJAST
Impact Factor: 1.08
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Reflection and Transmission Coefficients of Electromagnetic Wave Equation in Schwarzschild Black Hole
Abstract
The electromagnetic perturbation to the Schwarzschild metric is studied. The perturbation of the Schwarzschild black hole is described by the general time-dependent Regge-Wheeler equation. We trasnform this equation to usual Schwarzschild coordinates. In this case, it is possible to separate a harmonic time-dependence. Then, the resulting radial equation belong to the class of confluent Heun equation consisting of effective potential. The potential behaves like 1-D potential barrier in elementary quantum mechanics which is used to calculate the reflection and transmission coefficients near the Schwarzschild space-time using black hole boundary condition and the properties of confluent Heun function.