Radiation Ball for a Charged Black Hole

TL;DR

This paper introduces a radiation-ball model for charged black holes, where radiation is trapped by gravity and the structure aligns with Reissner-Nordstrom solutions, revealing insights into entropy and Hawking radiation.

Contribution

It presents a novel radiation-ball solution for charged black holes, analyzing backreaction effects and entropy behavior, extending previous models to include charge dependence.

Findings

Radiation is trapped in a gravitational potential forming a ball.

The structure is independent of charge, with deep potential increasing with charge.

Entropy obeys the area law, near Bekenstein entropy.

Abstract

A radiation-ball solution which is identified as a Reissner-Nordstrom black hole is found out. The radiation-ball, which is derived by analyzing the backreaction of the Hawking radiation into space-time, consists of radiation trapped in a ball by a deep gravitational potential and of a singularity. The Hawking radiation is regarded as a leak-out of the radiation from the ball. The gravitational potential becomes deep as the charge becomes large, however, the basic structure of the ball is independent of the charge. The extremal-charged black hole corresponds with the fully frozen ball by the infinite red-shift. The total entropy of the radiation in the ball, which is independent of the charge, obeys the area-law and is near the Bekenstein entropy.