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The relationship between StressEnergy tensor and Mass 
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#1
Dec912, 07:28 AM

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In Einstein field equations,the term that is responsible for curving SpaceTime is the StressEnergy tensor.But we know that mass should be able to curve spacetime.So I think every mass distribution should have a StressEnergy tensor associated with it.
What is that relationship? Thanks 


#2
Dec912, 07:49 AM

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Volumic mass density is the 00 component of the stressenergy tensor.



#3
Dec912, 07:50 AM

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The simplest case is a perfect fluid at rest. In that case, the nonzero components of the stressenergy tensor [itex]T^{\alpha \beta}[/itex] are: [itex]T^{0 0} = \rho[/itex], where [itex]rho[/itex] is the massenergy density, and [itex]T^{1 1} = T^{2 2} = T^{3 3} = p[/itex], where [itex]p[/itex] is the pressure. 


#4
Dec912, 10:15 AM

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The relationship between StressEnergy tensor and Mass



#6
Dec1212, 11:06 AM

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#7
Dec1212, 12:33 PM

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#8
Dec1212, 02:54 PM

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#9
Dec1212, 03:01 PM

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And of course you have momentum density....if you have a moving object or fluid.



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