In teleparallel gravity, the energy and momentum of arbitrary-polarization pp-waves are proportional to the expansion tensor of the freely falling frame, and the gravitational energy density is proportional to its determinant.
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Gravitational energy in pp-wave spacetimes
In teleparallel gravity, the energy and momentum of arbitrary-polarization pp-waves are proportional to the expansion tensor of the freely falling frame, and the gravitational energy density is proportional to its determinant.