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.

18 pages, 1 figure, JHEP accepted article

References in corpus (6)

• The physical interpretation of the spectrum of black hole quasinormal modes
• Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies
• Complex angular momentum in black hole physics and quasinormal modes
• Quasinormal modes of the BTZ black hole are generated by surface waves supported by its boundary at infinity
• Quasi-normal modes, area spectra and multi-horizon spacetimes
• Exotic Statistics for Ordinary Particles in Quantum Gravity

Cited by in corpus (2)

• pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes
• Scattering theory without large-distance asymptotics: scattering boundary condition