On identifying coordinates

Physics

Scientific paper

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Scientific paper

Various techniques are reviewed for identifying the coordinates employed in a given line element. In particular the questions of coordinate range, signature, character of coordinates, isometries, and linearization are considered. The consideration of isometries leads to the introduction of functional form-invariant (FFI) transformations, which may in particular be of help in obtaining Killing solutions. Finally the general question of coordinate identification is discussed.

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