Hawking Radiation and Energy Conservation in an Evaporating Black Hole

Abstract

We define the Bondi energy for two-dimensional dilatonic gravity theories by generalizing the known expression of the ADM energy. We show that our definition of the Bondi energy is exactly the ADM energy minus the radiation energy at null infinity. An explicit calculation is done for the evaporating black hole in the RST model with the Strominger's ghost decoupling term. It is shown that the infalling matter energy is completely recovered through the Hawking radiation and the thunderpop.

17 pages, LaTex, 3 figures available on request.

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• Hawking Radiation and Evaporation of the Black Hole Induced by a Klein-Gordon Soliton
• Exactly solvable charged dilaton gravity theories in two dimensions
• Hawking effect of AdS${}_2$ black hole in the Jackiw-Teitelboim model
• Note on explicit form of entanglement entropy in the RST model
• Black hole mining in the RST model
• Temperatures of AdS${}_2$ black holes and holography revisited
• Quantum-Corrected Bondi Mass for 2D Hawking Radiation