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Einstein-Schrodinger theory using Newman-Penrose tetrad formalism

2004/03/15 by J. A. Shifflett, Shifflett, J. A.
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #Scientific Research and Discoveries #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0403052

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

openalex publication_date 2004/03/15 · arxiv created 2005/07/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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