Schwarzschild black hole radiation With quantum semi-classical Approach

Abstract

Probably, one of the earliest outstanding theoretical prediction of General Relativity is the existence of black holes resulted from stellar collapse on self gravitation. However, more than a dozen of decades has passed without any plausible observation. As a result, almost interest was lost except its abstract mathematical existence. Nevertheless, the 1970’s paradigm shift by the Bekenstein-Hawking black hole quantum mechanical radiation theory has lead to the indirect discovery of the object. In fact, the direct observation of the black holes, the late noble prize in physics is a celebrity and an encouraging progress that opens a window to look further about our universe. This has motivated us to rework on the current issue of the black hole radiation mechanism pertaining to the semi-classical quantum approach. Especially, the Painleve metric adopted in the present decade for this purpose is re-derived from Einstein field equations to elucidate its intrinsic nature. Then, we detailed the geometry around the hole considering trip of particles into and out of it where the co-moving Friedmann-Lemaiter-Robertson and the static Schwarzschild standard metrics be assumed. Finally, we did reproduce the black hole radiation in agreement with the results of the recent literatures.