Stress–energy–momentum pseudotensor: Difference between revisions

 
===Cosmological constant===
When the [[Landau-Lifshitz pseudotensor]] was formulated it was commonly assumed that the [[cosmological constant]],<math>\Lambda \,</math> , was zero. Nowadays [[accelerating universe|we don't make that assumption]], and the Einstein tensor, <math>G^{\mu \nu}\,</math>, is modifiedexpression byneeds the addition of a <math>\Lambda \,</math> term, giving:
:<math>16 \pi t_{LL}^{\mu \nu} =+ -2\Lambda 2(Gg^{\mu \nu}= +- \Lambda g2G^{\mu \nu}) + (-g)^{-1}((-g)(g^{\mu \nu}g^{\alpha \beta} - g^{\mu \alpha}g^{\nu \beta}))_{,\alpha \beta}</math>
This is necessary for consistency with the [[Einstein field equations]].