Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991nyasa.631...68g&link_type=abstract
(Nonlinear problems in relativity and cosmology; Proceedings of the 6th Florida Workshop in Nonlinear Astronomy, Gainesville, Oc
Astronomy and Astrophysics
Astronomy
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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