Null Cones in Schwarzschild Geometry

TL;DR

This paper investigates the structure of light cones in Schwarzschild spacetime, analyzing their singularities, deriving lensing equations, and demonstrating the validity of pseudo-Minkowski coordinates in this context.

Contribution

It provides a detailed analysis of light cone singularities and gravitational lensing in Schwarzschild geometry, connecting null surface formulation with explicit equations.

Findings

Light cone cut function exhibits specific singularity structures.

Derived exact gravitational lensing equations for Schwarzschild spacetime.

Pseudo-Minkowski coordinates are well-defined within the studied model.

Abstract

Light cones of Schwarzschild geometry are studied in connection to the Null Surface Formulation and gravitational lensing. The paper studies the light cone cut function's singularity structure, gives exact gravitational lensing equations, and shows that the "pseudo-Minkowski" coordinates are well defined within the model considered.