Late-time expansion in the semiclassical theory of Hawking radiation

TL;DR

This paper investigates how back-reaction effects influence Hawking radiation in a semiclassical framework, providing a detailed iterative solution that refines the radiation spectrum beyond the leading order.

Contribution

It introduces a rigorous iterative method to solve the nonlinear equations governing back-reaction, improving the understanding of late-time black hole evaporation effects.

Findings

Derived the O(omega/M) correction to the Hawking spectrum

Developed a convergent iterative approach for the nonlinear system

Enhanced the theoretical understanding of back-reaction in black hole radiation

Abstract

We give a detailed treatment of the back-reaction effects on the Hawking spectrum in the semiclassical approach to the Hawking radiation. We solve the exact system of non linear equations giving the action of the system, by a rigorously convergent iterative procedure. The first two terms of such an expansion give the O(omega/M) correction to the Hawking spectrum.