Einstein's field equations under conditions of D dimensions geometrized completely

Aim:

The problem of the geometrization of the Einstein field equations under conditions of D dimensions is reviewed again.

Methods:

The usual tensor calculus rules were used.

Results:

The stress-energy-tensor  has been geometrized under conditions of D dimensions. The Ricci tensor has been expressed completely in terms of the metric tensor  under conditions of D dimensions too.
Based on the geometrized Einstein field equations under conditions of D dimensions, a mathematical formalism how to calculate the exact value the cosmological constant  under conditions of D dimensions has been derived.

Conclusion: The geometrized Einstein field equations under conditions of D dimensions open the door to a logically consistent unified field theory.