Discrete energy spectrum of Hawking radiation from Schwarzschild surfaces
Ashutosh V. Kotwal, Stefan Hofmann
TL;DR
This paper derives bounds on the discrete energy spectrum of Hawking radiation from Schwarzschild black holes in higher-dimensional space-times, considering boundary conditions and extra dimensions.
Contribution
It introduces a method to calculate the upper bounds and spacing of Hawking radiation energy levels in models with large extra dimensions.
Findings
Derived upper bounds for energy levels based on boundary conditions.
Analyzed how extra dimensions influence energy level spacing.
Provided insights into quantum properties of black holes in higher dimensions.
Abstract
We analyze the allowed energy levels of Hawking radiation from Schwarzschild surfaces in space-times with large extra dimensions. From the requirement that the wave functions associated with these particles be single-valued and obey radial boundary conditions, we derive an upper bound of their discrete energy spectrum as a function of the number of large extra dimensions and the mass of the black hole. Furthermore, we investigate the spacing of the energy levels.
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Taxonomy
TopicsCosmology and Gravitation Theories · Advanced Differential Geometry Research · Black Holes and Theoretical Physics