On the energy density of linearly polarized, plane gravitational wave

In this article, the energy density of plane gravitational wave is studied by using Einstein and M{\o}ller’s prescription of energy-momentum pseudotensors. The linearly polarized plan gravitational wave solution of Einstein field equation, which has been defined by Bondi et al., is represented by four kinds of different coodrinates. The energy distribution of gravitational wave solution in Einstein and M{\o}ller’s prescription are obtained. Particularly the energy component is zero in null coordinates.