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Graduate How Einstein field equation becomes the Poisson equation?
in that book ,the author use a native spacetime (ℝ4,g) with g, g=-(1+2 ϕ)du4⊗ du4+(1-2 ϕ)\sumduα⊗ duα ,where ϕ:ℝ3→ℝ will be interpreted as a time –independent Newtonian gravitational potential . (sigma from 1 to 3).- lili 73
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- Forum: Differential Geometry
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Graduate How Einstein field equation becomes the Poisson equation?
I want to show that ∇2ϕ=ρ/2, which governs gravity in Newtonian physics? I found solution of this question in [General Relativity for Mathematicians, R.K.Sachs and H.Wu, 1997, page 112&271]. Solution refer to optional exercise as follows: Let R^ be the (0, 4) –tensor field physically...- lili 73
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- Einstein Einstein field equation Field Poisson Poisson equation
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- Forum: Differential Geometry