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math-ph2024
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 --…
math-ph2024
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…