The paper rewrites curvature dynamics in spinor and helicity formalisms and proves that a curvature-only energy/momentum expression for linearized gravitational waves matches the Landau-Lifshitz pseudotensor when the coefficient is fixed.
Pleba´ nski, The spinorial and helicity formalisms of Riemannian s tructures in complex or real four dimensions, preprint of CINVESTAV, Mexico, 1 980
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Curvature and conformal curvature dynamics formalisms and their applications in linearized gravity
The paper rewrites curvature dynamics in spinor and helicity formalisms and proves that a curvature-only energy/momentum expression for linearized gravitational waves matches the Landau-Lifshitz pseudotensor when the coefficient is fixed.