Invariant conformal vectors in static spacetimes

Computer Science

Scientific paper

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Scientific paper

Static spacetimes are studied in terms of a space-plus-time decomposition proposed by Petrov. The problem of finding invariant conformal vectors (the ones which commute with the static Killing vector) is reduced to the simpler problem of finding the isometries of a three-dimensional metric. In the perfect fluid case, all the line elements admitting proper invariant conformal vectors are explicitly given.

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