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Killing Tensors as Space–Time Metrics

✍ Scribed by Franz Hinterleitner

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
103 KB
Volume
271
Category
Article
ISSN
0003-4916

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✦ Synopsis

The symmetric Killing tensors of order two associated with orthogonal separable coordinates for the Klein Gordon equation in flat 2+1-dimensional space-time are considered as metrics. So, as a by-product of variable separation in flat space-time new, generally curved, spaces are generated whose metric again admits Killing tensors. For each coordinate system there are distinguished Killing metrics whose curvature yields an energy-momentum tensor of a matter distribution which is comoving with the underlying separable coordinates. There are simple conformal relations between these particular Killing tensors of the different coordinate systems.

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