Wave equations on the linear mass Vaidya metric

TL;DR

This paper investigates wave equations on the linear mass Vaidya metric near the singularity, revealing oscillatory behavior that could model black hole evaporation endpoints.

Contribution

It introduces a numerical and analytical study of scalar and electromagnetic perturbations on the Vaidya metric, highlighting oscillations near the evaporation point.

Findings

Oscillations appear near the total evaporation point.

The metric symmetry reduces the wave problem to an ODE.

Potential relevance to black hole evaporation end-states.

Abstract

We discuss the near singularity region of the linear mass Vaidya metric. In particular we investi- gate the structure in the numerical solutions for the scattering of scalar and electromagnetic metric perturbations from the singularity. In addition to directly integrating the full wave-equation, we use the symmetry of the metric to reduce the problem to that of an ODE. We observe that, around the total evaporation point, quasi-normal like oscillations appear, indicating that this may be an interesting model for the description of the end-point of black hole evaporation.