Two Applications of Macsyma in General Relativity
        -------------------------------------------------

                          Richard Petti
                          Macsyma Inc.

This presentation surveys two applications of Macsyma to
computations in general relativity.  The first application is
a derivation of Einstein-Cartan theory from general relativity
as a continuum limit of an ensemble of Kerr-Newman black holes.
Macsyma is used to compute the connection coefficients of the 
Kerr Newman solution (charged rotating black hole) with frame 
fields.  The second application is a derivation of the Klein 
Gordon Lagrangian as the scalar curvature of a connection with 
complex conformal nonmetricity.  Macsyma is used for several 
computations in this application, most importantly to compute 
the scalar curvature in the presence of complex conformal 
nonmetricity.