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arXiv · 0907.3608

Flat deformation of a spacetime admitting two Killing fields

Josep Llosa·Jaume Carot
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Abstract

It is shown that given an analytic Lorentzian metric on a 4-manifold, $g$, which admits two Killing vector fields, then it exists a local deformation law $η= a g + b H$, where $H$ is a 2-dimensional projector, such that $η$ is flat and admits the same Killing vectors. We also characterize the particular case when the projector $H$ coincides with the quotient metric. We apply some of our results to general stationary axisymmetric spacetimes

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Josep Llosa, Jaume Carot. 2010-05-10. Flat deformation of a spacetime admitting two Killing fields. https://doi.org/10.1088/0264-9381%2F27%2F24%2F245006

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