Abstract
It was found manyyears ago that in cylindrical polar coordinates the energy and momentum densities of gravitational waves, calculated with the help of a pseudo-tensor, vanish. However, using cartesian coordinates, one finds them to be finite and reasonable.
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Rosen, N., Virbhadra, K.S. Energy and momentum of cylindrical gravitational waves. Gen Relat Gravit 25, 429–433 (1993). https://doi.org/10.1007/BF00757123
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DOI: https://doi.org/10.1007/BF00757123