Axially symmetric pp-waves and their interpretation as extended massless particles.

Mathematics – Logic

Scientific paper

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Elementary Particles:Field Theories, Field Theories:Elementary Particles, General Relativity:Electromagnetic Fields

Scientific paper

The general solution of the vacuum field equationsR ik = 0 with a null Killing field and an additional space-like axial symmetry is investigated. It depends on one free profile functionχ(z±x 4). After some topological manipulations one obtains a new solution which for a special choice of the profile functionχ(u) is asymptotically fiat and carries finite and positive energy.

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