A scattering approach to some aspects of the Schwarzschild Black Hole

Abstract

In this paper, we consider a massless field, with spin j, in interaction with a Schwarzschild black hole in four dimensions, focusing mainly our study on the s-wave scattering. First, using a Fourier analysis, we show that one can have a simple and natural description of the Physics near the event horizon without using any conformal field approaches. Then, within the same "scattering picture", we derive analytically the imaginary part of the highly damped quasinormal complex frequencies and, as a natural consequence of our analysis, we show that thermal effects and in particular Hawking radiation, can be understood through the scattering of an ingoing s-wave by the non null barrier of the Regge-Wheeler potential associated with the Schwarzschild black hole. Finally, with the help of the well-known expression of the highly damped quasinormal complex frequencies, we propose a heuristic extension of the "tripled Pauli statistics" suggested by Motl, some years ago.

arXiv comment18 pages, 1 figure, JHEP accepted article

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Cited by in corpus (7)

• Infinite Statistics Condensate as a Model of Dark Matter
• Scattering theory without large-distance asymptotics in arbitrary dimensions
• Speed limit of quantum dynamics near the event horizon of black holes
• pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes
• Probing the conformal invariance around the nonsingular static spherical black holes with waves
• Scattering theory without large-distance asymptotics: scattering boundary condition
• Schwarzschild Quantum Fluctuations from Regge-Wheeler Scattering