Quantum-Corrected Bondi Mass for 2D Hawking Radiation
General Relativity and Quantum Cosmology
2025-10-22 v1
Abstract
We derive the Hamiltonian for general semi-classical 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 quasi-local mass function, and the ADM 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. It is non-increasing and remains positive in numerical simulations.
Keywords
Cite
@article{arxiv.2510.18298,
title = {Quantum-Corrected Bondi Mass for 2D Hawking Radiation},
author = {Jonathan Barenboim and Andrei V. Frolov and Gabor Kunstatter},
journal= {arXiv preprint arXiv:2510.18298},
year = {2025}
}