D O C . 3 2 C A L C U L A T I O N S 6 5 32. Calculations R×μν [Berlin, after 18 May 1923][1] AD. [24 075]. [1]Dated by the fact that the calculations are written on the back of Doc. 30. [2]The first line is eq. (4) of Einstein 1923n (Doc. 52). Apparently, Einstein is reflecting on the results of that paper for the case where expansion parameters σ and τ were explicitly introduced, as in , etc. [2] gμν α 1 2 --gμσ - σ δα ν – 1 2 --gνσ - σ δα μ – 1 2 --iμδα - ν 1 2 --iνδα - μ + + 0 = Rμν × ασgμν × – β----Tμν τ2 σ - e) ( τ2 6σ2 -------- -iμiν × × +–= Γμν α μν α ¯ ¿ ® ¾ ½ 1 2 --gμνiα - . – . – += × –βτfμν 1 6σ© -----§ - τ ∂iμ ∂xν ------- - ∂iν ∂xμ¹ --------· – = βτ2 σ --------§ Tμν e) ( 1 6σβ ----------iμiν¹· × × + © –= × –fμν 1 6βσ© ----------¨ ∂iμ × ∂xν -------- ∂i×· ∂xμ¹ --------¸ν – § = gμν σgμν × = fμν τfμν× = sμν τsμν× = iμ τiμ× = iμ iα gαμ -------- ⋅ iμ × τ σ --- ⋅ = = gμν σg× μν =