Generating new field solutions, by analytic continuation, and new topologies from old
Date
2010-05-18T15:44:15Z
Authors
Miller, Gary G.
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Abstract
By analytic continuation, even from real via complex to real, new fields can be obtained from old with ease. These associated fields are physically new for continuation is not a coordinate transformation. Here we put forward a general method of transfer, some of which is known, and give simple examples of its application. Unlike other methods of generation, all properties, that are analytically expressible and continue to admit interpretation, transfer to hold in the new situation. General conditions, e.g., vacuum, characteristic features, e.g., Killing vectors, and additional fields, e.g., Maxwell, transfer. Yet, the possible reversed signs of curvature and signature, the possible complexification of some features, and the possible appearance of spacetime warps can force attention to interpretation.
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technical reports (mathematics and statistics)