Killing Tensors and Symmetries

Ann Arbor; David Garfinkle; MI); MI) E.N. Glass; Oakland University; (Physics Department; Rochester; University of Michigan

arxiv: 1003.0019 · v2 · pith:QD275PLXnew · submitted 2010-02-26 · 🌀 gr-qc

Killing Tensors and Symmetries

David Garfinkle , (Physics Department , Oakland University , Rochester , MI) E.N. Glass , University of Michigan , Ann Arbor , MI) This is my paper

classification 🌀 gr-qc

keywords killingmethodtensorssymmetriesusedalgebraicallycomputationdirectly

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A new method is presented for finding Killing tensors in spacetimes with symmetries. The method is used to find all the Killing tensors of Melvin's magnetic universe and the Schwarzschild vacuum. We show that they are all trivial. The method requires less computation than solving the full Killing tensor equations directly, and it can be used even when the spacetime is not algebraically special.

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Killing Tensors and Symmetries

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