N - The Number Of Dimensions Of Space-Time
 
From the Lagrangian section   
3.1
In a closed system, in general G does not have a vanishing divergence. Using the Bianchi identities   
 
Where a is a constant and  is the cosmological term.  
The divergence of this equation is  
3.2
With the aid of the following identities  
 
 
   
Where f=3 to N, the following expression arises from equation 3.2  
 
Which vanishes if 1-3a=3a, ie a=1/6  
If the energy tensor is traceless ie  
 
Hence Space-Time is 6D  
The divergence of equation 3.2 becomes  
3.3