Einstein-Schrodinger theory using Newman-Penrose tetrad formalism

Details Einstein-Schrodinger theory using Newman-Penrose tetrad formalism Einstein-Schrodinger theory using Newman-Penrose tetrad formalism

2004-03-15

arxiv.org/abs/gr-qc/0403052v6

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, latex2e, added material to sections 1 and 5, improved notation

Scientific paper

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.

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