Quantum kinetic theory of a massless scalar model in the presence of a Schwarzschild black hole

Abstract

We employ quantum kinetic theory to investigate local quantum physics in the background of spherically symmetric and neutral black holes formed through the gravitational collapse. For this purpose in mind, we derive and study the covariant Wigner distribution function $\mathcal{W}(x,p)$ near to and far away from the black-hole horizon. We find that the local density of the particle number is negative in the near-horizon region, while the entropy density is imaginary. These pose a question whether kinetic theory is applicable in the near-horizon region. We elaborate on that and propose a possible interpretation of how this result might nevertheless be self-consistently understood.

version to be published in Annalen der Physik

References in corpus (5)

• The black hole quantum atmosphere
• Astronomical tests for quantum black hole structure
• Black hole evaporation without an event horizon
• Hawking radiation and the Stefan-Boltzmann law: The effective radius of the black-hole quantum atmosphere
• Quantum electromagnetic phenomena far from small evaporating black holes

Cited by in corpus (4)

• Wigner distributions in Rindler spacetime and nonvacuum Minkowski states
• Magnetostatic-field screening induced by small black holes
• QED loop effects in the spacetime background of a Schwarzschild black hole
• Can a QED photon propagate out of the black-hole horizon?