Naked singularities and black hole Killing horizons

TL;DR

This paper develops a framework for analyzing special photon orbits in axially symmetric spacetimes, focusing on their role in understanding naked singularities and black hole thermodynamics.

Contribution

It introduces a null-orbits framework based on Killing vectors to study photon orbits in black holes and naked singularities, linking orbit properties to thermodynamic concepts.

Findings

Null orbits help distinguish black holes from naked singularities.

The framework connects photon orbit properties with thermodynamic behavior.

Insights into the structure of spacetime horizons and singularities.

Abstract

In this chapter, we study special photon orbits defined by means of Killing vectors and present a framework based on the properties of such null orbits. For concreteness, we restrict ourselves to the case of axially symmetric spacetimes describing either black holes with Killing horizons or naked singularities. The null-orbits framework is then applied to analyze properties of naked singularities and concepts of black hole thermodynamics.