  The Einstein-Schrodinger theory is modified to include a large cosmological
constant caused by zero-point fluctuations. This ``extrinsic'' cosmological
constant which multiplies the symmetric metric is assumed to be nearly
cancelled by Schrodinger's ``bare'' cosmological constant which multiplies the
nonsymmetric fundamental tensor, such that the total cosmological constant is
consistent with measurement. This modified Einstein-Schrodinger theory is
expressed in Newman-Penrose form, and tetrad methods are used to confirm that
it closely approximates ordinary general relativity and electromagnetism. A
solution for the connections in terms of the fundamental tensor is derived in
the tetrad frame. The tetrad form of an exact electric monopole solution is
shown to approximate the Reissner-Nordstrom solution and to be of Petrov
type-D.
