Quantum-Corrected Bondi Mass for 2D Hawking Radiation

TL;DR

This paper derives a quantum-corrected Bondi mass for 2D Hawking radiation, providing a Hamiltonian framework that includes semi-classical effects, and demonstrates its properties through numerical simulations.

Contribution

It introduces a Hamiltonian formulation for semi-classical 2D dilaton gravity that yields a quantum-corrected Bondi mass, extending classical concepts with quantum effects.

Findings

Bondi mass includes quantum correction term

Bondi mass remains positive and non-increasing

Numerical simulations confirm theoretical properties

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.