Interaction of electromagnetic perturbations with infalling observers inside spherical charged black holes

TL;DR

This paper investigates how electromagnetic perturbations interact with infalling observers inside charged black holes, showing that the effects are finite and negligible for supermassive black holes, contrasting previous notions of infinite energy concentration.

Contribution

It provides a detailed analysis of electromagnetic interactions with infalling matter inside Reissner-Nordström black holes, considering classical and quantum models, and demonstrates the finiteness of these effects.

Findings

Electromagnetic perturbations produce finite effects at the Cauchy horizon.

The effects are negligible for typical supermassive black holes.

Analysis includes both classical and quantum absorber models.

Abstract

The electromagnetic radiation that falls into a Reissner-Nordstr\"{o}m black hole is known to develop a ``blue sheet'', namely, an infinite concentration of energy density at the Cauchy horizon. The interaction of these divergent electromagnetic fields with infalling matter was recently analyzed (L. M. burko and A. Ori, Phys. Rev. Lett. 74, 1064 (1995)). Here, we give a more detailed description of that analysis: We consider classical electromagnetic fields (that were produced during the collapse and then backscattered into the black hole), and investigate the blue-sheet effects of these fields on infalling objects within two simplified models of a classical and a quantum absorber. These effects are found to be finite and even negligible for typical parameters of a supermassive black hole.