天体物理学と航空宇宙技術

Mass-Wavelength Relation in Curved Space-Time Fabric of a Black Hole and Transformation of a Black Hole to a White Hole

Abstract

Deepanshu Chouhan*

According to Stephen Hawking, black hole create and emit particles thereby evaporating and losing their mass slowly with time. As it loses its mass, the wavelength of the emitted particles decreases and the energy of the black hole radiation increases. The wavelength of Hawking radiation is related to the curvature of space-time continuum near the event horizon by the equation

where λ_HR is the wavelength of the Hawking radiation. Also, by subtracting this equation from the net energy content of the black hole before emission, we can get the energy of the black hole after emission. Since black holes emit radiation that has immense pressure when it’s mass tends to zero then due to radiation pressure exerted on a body will prevent it from crossing the event horizon which is a property of white holes. In this way a black hole may behave as a white hole.