Physical Review Letters · 1975 · 36 citations · 5 references
Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsRelativityCurved SpacetimeDifferential GeometryEinstein Field EquationsGeneral RelativityMetric GeometrySystems Of Differential EquationsAsymptotically Flat SpacetimesConformal GeometryFlatness ProblemMetrics
I solve, in principle, the Kilmister-Yang equations for the degenerate cases of conformal flatness and decomposability of space-time. The unphysical metrics discussed by Pavelle belong to these degenerate classes. Perhaps using the methods outlined here it will be possible to determine if these "unphysical" metrics are isolated examples or if they are typical of such "geometric-degenerate" classes.
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Integral Formalism for Gauge Fields
Chengxin Yang · Physical Review Letters · 1974 · 515 citations
Unphysical Solutions of Yang's Gravitational-Field Equations
Richard Pavelle · Physical Review Letters · 1975 · 79 citations
Yang's Gravitational Field Equations
A. H. Thompson · Physical Review Letters · 1975 · 48 citations
Yang's Gravitational Field Equations
Wei-Tou Ni · Physical Review Letters · 1975 · 48 citations