 
  
  
  
  
 
The four Newman-Penrose operators require the existence of the connection object and operate on algebraic expressions. They are defined as follows: <<2195>

The REDTEN functions npD(), npDEL(), npdel(), and npdelc() implement each of the operators, respectively. For example,
 
#: npD(th*sin(r));
  sqrt(2) cos(r) th
 -------------------
          2
#: npDEL(th*sin(r));
   - sqrt(2) cos(r) delta th
 ----------------------------
           ____
         4 rhob rhob
#: npdel(th*sin(r));
  sin(r)
 --------
  2 rhob
#: npdelc(th*sin(r));
  sin(r)
 --------
    ____
  2 rhob