Radiation Ball for a Charged Black Hole

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.