- #1
luckyboots
- 2
- 0
Hey all, making my way through Landau and Lifgarbagez classical theory of fields and i had a specific question on the Einstein equations. Following the palatini approach, we assume that the connection and metric are independent variables and are not related a priori. In the footnote, they say by calculating the variation of the gravitational action and requiring that it vanish,
[itex]\delta S_g=\int\left(R_{jk}-\frac{1}{2}g_{jk}R\right)\delta g^{jk}\sqrt{-g}d^4x[/itex]
we are supposedly able to determine the relation between the two. However, i am at a loss as to how they make this leap from what is given above.
[itex]\delta S_g=\int\left(R_{jk}-\frac{1}{2}g_{jk}R\right)\delta g^{jk}\sqrt{-g}d^4x[/itex]
we are supposedly able to determine the relation between the two. However, i am at a loss as to how they make this leap from what is given above.