Hawking radiation from extremal and non-extremal black holes

Abstract

The relationship between Hawking radiation emitted by non extremal and extremal Reissner Nordstrom black holes is critically analyzed. A careful study of a series of regular collapsing geometries reveals that the stress energy tensor stays regular in the extremal limit and is smoothly connected to that of non extremal black holes. The unexpected feature is that the late time transients which played little role in the non extremal case are necessary to preserve the well defined character of the flux in the extremal case. The known singular behavior of the static energy density of extremal black holes is recovered from our series by neglecting these transients, when performing what turns out to be an illegitimate late time limit. Although our results are derived in two dimensional settings, we explain why they should also apply to higher dimensional black holes.

arXiv comment18 pages, latex

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• Hawking radiation particle spectrum of a Kerr-Newman black hole
• The Unruh vacuum and the in-vacuum in the Reissner-Nordström spacetime
• Black-Hole Solutions to Einstein's Equations in the Presence of Matter and Modifications of Gravitation in Extra Dimensions
• Quantum energy momentum tensor and equal time correlations in a Reissner-Nordström black hole
• Hawking effect in an extremal Kerr black hole spacetime
• Hawking radiation inside a charged, cosmological black hole
• Chaotic Dynamics in Extremal Black Holes: A Challenge to the Chaos Bound
• Thermal radiation in curved spacetime using influence functional formalism