Energy Conservation and Hawking Radiation

TL;DR

This paper explores how energy conservation affects black hole radiation spectra and the no-hair theorem, with implications for the black hole information paradox.

Contribution

It analyzes the impact of energy conservation on black hole radiation and the validity of the no-hair theorem, offering insights into the information puzzle.

Findings

Black hole radiation spectra deviate from perfect thermality due to energy conservation.

The no-hair theorem is only approximately valid in realistic scenarios.

Implications for resolving the black hole information paradox are discussed.

Abstract

The conservation of energy implies that an isolated radiating black hole cannot have an emission spectrum that is precisely thermal. Moreover, the no-hair theorem is only approximately applicable. We consider the implications for the black hole information puzzle.