The stress-energy tensor for dust particles is T PUU where U is the four- velocity of...

 

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The stress-energy tensor for dust particles is T PUU where U is the four- velocity of the dust particles and the scalar function p is the proper mass density (i.e., the mass density in the frame in which the dust is momentarily at rest, the MCF). Show that the covariant conservation law T = 0 implies that the dust particles follow geodesics, UVU", = 0. :/ = The stress-energy tensor for dust particles is T PUU where U is the four- velocity of the dust particles and the scalar function p is the proper mass density (i.e., the mass density in the frame in which the dust is momentarily at rest, the MCF). Show that the covariant conservation law T = 0 implies that the dust particles follow geodesics, UVU", = 0. :/ =

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