Cosmic-string traveling waves

Astronomy and Astrophysics – Astronomy

Scientific paper

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Einstein Equations, Relativity, String Theory, Traveling Waves, Asymptotic Methods, Laplace Equation, Magnetic Flux

Scientific paper

An attempt to solve Einstein's equations by assuming the existence of symmetries and by treating metrics that possess a Killing vector is presented. A spacetime with a null Killing field can be regarded as the history of a disturbance that propagates at the speed of light without changing its amplitude or shape. Such spacetimes are referred to as traveling waves. A new technique for generating solutions of Einstein's equations is then presented. The technique produces a new traveling wave spacetime given an old one. It applies to both the vacuum Einstein equations and Einstein's equations coupled to various types of matter.

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