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Forums
Physics
Special and General Relativity
Understanding Killing Vectors & Schwarzschild Geodesics
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[QUOTE="Orodruin, post: 6311007, member: 510075"] Whether or not a timelike Killing field has components (1,0,0,0) or not depends on your coordinate system. However, it is always possible to construct a coordinate system in such a way that those would be the components. Note that this says nothing about your actually chosen coordinate system. For example, it is not the case for Kruskal-Szekeres coordinates on Schwarzschild spacetime. There are also other rotations from those generated by ##\partial_\phi## that are symmetries of the Schwarzschild metric. They will not have that simple form (but you can construct a new coordinate system where they do). [/QUOTE]
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Forums
Physics
Special and General Relativity
Understanding Killing Vectors & Schwarzschild Geodesics
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