Naturally, we assume the surface stress tensorbe given by local geometryTii=n(Ki-Ki)Using the Gauss-Codazzi equation(Rab -Rgab/2)N^e, =-D;(Ki-Ki)
Naturally, we assume the surface stress tensor be given by local geometry Using the Gauss-Codazzi equation
WehaveRSE=≥gab)s'egNbdAdt2DCompare to the bulk flow, we findR≥9ab)egNb= TabegNb
We have Compare to the bulk flow, we find
We almost obtain the Einstein eguationsNote thatgabeaNb =WededuceR≥9ab + Agab = 8πGTab.7一Y
We almost obtain the Einstein equations. Note that We deduce