Goce Chadzitaskos
The Schwarzschild’s solution and Mach’s principle
We derived a relation for Mach's principle by applying Schwarzschild's procedure to solve Einstein's equations within a homogeneous mass sphere. This results in the proportionality relation $c^2 \sim \frac{MG}{R} =\Phi.$ We then use this conclusion to extend the solution to a three--dimensional sphere as a model of the spatial component of space--time. For a stationary model of the universe as a three--dimensional sphere in four--dimensional space, the possible proportionality coefficients are calculated.
