81 citations · 175 across the 30 of their papers we have counts for
5 papers · 1 filter
Sachs equations and plane waves III: Microcosms
Jonathan Holland, George Sparling
This article examines the structure of plane wave spacetimes (of signature , ) that are homogeneous (the isometry group is transitive) and geodesically complete --…
Sachs equations and plane waves II: Isometries and conformal isometries
Jonathan Holland, George Sparling
This article describes the symmetries of plane wave spacetimes in dimension four and greater. It begins with a description of the isometric automorphisms, and in particular the hom…
The conformal, complex and non-commutative structures of the Schwarzschild solution
Jonathan Holland, George Sparling
The generic null geodesic of the Schwarzschild--Kruskal--Szekeres geometry has a natural complexification, an elliptic curve with a cusp at the singularity. To realize that complex…
On the Classical Solutions of the Perturbed, Massless Wave Equation with Singular Potential
Ashwin Vaidya, George Sparling
This paper discusses the solutions to the perturbed wave equation containing a singular potential term in the Lorentzian metric. We present the classical solution to the problem us…
Null electromagnetic fields and relative CR embeddings
Jonathan Earl Holland, George Sparling
This paper applies the notion of relative CR embeddings to study two related questions. First, it answers negatively the question posed by Penrose whether every shear-free null rot…