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The Divergence of the Klein-Gordon Energy-Momentum Tensor
I've tried this problem so, so, so so so many times. Given the equations above, the proof starts easily enough: $$\partial_\mu T^{\mu\nu}=\partial_\mu (∂^μ ϕ∂^ν ϕ)-\eta^{\mu\nu}\partial_\mu[\frac{1}{2}∂^2ϕ−\frac{1}{2}m^2ϕ^2]$$ apply product rule to all terms $$=\partial^\nu \phi \cdot...- GooberGunter
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- Energy-momentum tensor Klein-gordon Proof
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- Forum: Advanced Physics Homework Help