Radial Photon Trajectories Near an Evaporating Black Hole

TL;DR

This paper investigates the paths of photons near an evaporating black hole, revealing that some photons initially directed inward can escape, using non-orthogonal coordinates and Penrose diagrams for visualization.

Contribution

It introduces a novel analysis of photon trajectories near an evaporating black hole using non-orthogonal coordinates and demonstrates escape possibilities with detailed diagrams.

Findings

Some photons initially directed towards the singularity can escape.

Photon behaviors are effectively visualized using Penrose diagrams.

The study provides insights into photon dynamics near evaporating black holes.

Abstract

The radial motion of photons emitted near the horizon of a black hole that evaporates at a steady rate is examined. The space-time of the black hole is generated using non-orthogonal coordinates. It is shown that some photons that are initially drawn towards the singularity can escape falling into the horizon. The behaviors of various outgoing and ingoing photons are clearly demonstrated through the use of a Penrose diagram.