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High Energy, Nuclear, Particle Physics
Weinberg's gauge-fixed quantum gravity
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[QUOTE="maline, post: 6538621, member: 506251"] It is actually quite similar to the standard Transverse Traceless (TT) gauge. It might even be identical; I'm not sure about that. Kind of ironic that Weinberg calls his gauge "too ugly to deserve a name"! Was TT gauge in use for gravitational waves, back in 1965? Anyhow, none of the classical GR literature will address the the issue of the gradient terms in the propagator. They also are unlikely to have used Weinberg's Hamiltonian much, because of the nonlocality. But it would be interesting if someone did a detailed comparison between this Hamiltonian and the ADM version. As for the gravitational energy pseudotensor, it's obvious that moving the nonlinear terms in ##G_{\mu\nu}## to the RHS of the Einstein Equation does give a noncovariantly-conserved (and symmetric) form for the total SEM pseudotensor - assuming Einstein's Equation holds. The interesting question is finding some set of assumptions that make this form unique, beyond the also-obvious point that it serves as the source for the linear part of ##G_{\mu\nu}##. (Linear here means first-order in ##h_{\mu\nu} = g_{\mu\nu}-\eta_{\mu\nu}##) [/QUOTE]
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High Energy, Nuclear, Particle Physics
Weinberg's gauge-fixed quantum gravity
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