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arxiv: hep-th/0401130 · v1 · submitted 2004-01-20 · ✦ hep-th · gr-qc

On the Energy-Momentum Density of Gravitational Plane Waves

classification ✦ hep-th gr-qc
keywords tensorgravitationalcovariantfieldstress-energywavesanalogousarbitrary
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By embedding Einstein's original formulation of GR into a broader context we show that a dynamic covariant description of gravitational stress-energy emerges naturally from a variational principle. A tensor $T^G$ is constructed from a contraction of the Bel tensor with a symmetric covariant second degree tensor field $\Phi$ and has a form analogous to the stress-energy tensor of the Maxwell field in an arbitrary space-time. For plane-fronted gravitational waves helicity-2 polarised (graviton) states can be identified carrying non-zero energy and momentum.

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