 
  
  
   
 
Finally we come to the type of fluid which will be of
most interest to us. A perfect fluid  in Special Relativity is defined to be a fluid that has no heat 
conduction in the MCRF. It is the generalization of the ideal gas 
in ordinary thermodynamics. In the MCRF  the components of
  are
  are 
  
 
It is easy to show that in a general frame we have [ Assignment 4 ]:
  
 
This is the energy- momentum tensor of a perfect 
fluid .