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Quantum-corrected Bondi mass for 2D Hawking radiation
Phys. Rev. D 114, 024067 – Published 24 July, 2026
DOI: https://doi.org/10.1103/q7hb-xjtf
Abstract
We derive the Hamiltonian for general semiclassical 2D dilaton gravity, beginning with the complete action including the Polyakov action and Gibbons-Hawking-York boundary term. The value of the Hamiltonian yields a generalized Brown-York quasilocal mass function, and the Arnowitt-Deser-Misner and Bondi masses are obtained in the appropriate limits. The Bondi mass is equal to the classical mass plus a correction term given by the transformation between initial and final inertial frames. We test the expression for the Bondi mass in the Russo-Susskind-Thorlacius model, which can be treated analytically, and in several other models numerically. We find it is monotonically decreasing and remains positive throughout the evaporation process for asymptotically flat black holes.
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