Hi all, I have been trying to solve the Einstein Field Equations for its (0,0) component. So I have got that (c=1) Einstein Tensor (upper,0,0)=8*pi*G*T(upper,0,0) Now, lets see what T (0,0) really is. It is energy density, right? So According to famous E=mc^2 the energy density is the same as mass density, assuming the speed of light to be equal to one. Therefore, the (0,0) components of the Stress-Energy Tensor is just the mass density. So we have that Einstein Tensor (upper,0,0)=8*pi*G*ρ Now, lets see what Einstein Tensor G(0,0) really is Ricci(0,0) - 1/2*g(upper 0,0)*Ricci scalar Ricci scalar is obtained by contracting it with metric tensor so we have that Ricci (upper,0,0) - 1/2*g(upper 0,0)*Ricci (upper0,0)*g(lower, 0,0)=8*pi*G*ρ So g(upper 0,0)*g(lower, 0,0) is 1 so we have that Ricci (upper 0,0) - 1/2*Ricci(upper 0,0)=8*pi*G*ρ 1/2 Ricci (upper 0,0)=8*pi*G*ρ Ricci(0,0)=4*pi*G*ρ Now look carefully to the Right Hand Side of the Equation. It is the same from the Poisson's Equation where Set of second partial derivatives of the Gravitational potential=4*pi*G*ρ Therefore, is it true that the zero-zero component of the Einstein Tensor, and subsequently the Ricci tensor, is just the [Set of second partial derivatives of the Gravitational potential] or 4*pi*G*ρ Thanks! P.S I apologize for not using MathCodes--never used them before and would appreciate if someone will show me how to use them.