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EMPTY SPACE METRICS CONTAINING HYPERSURFACE ORTHOGONAL GEODESIC RAYS

Journal Article · · J. Math. Phys.
DOI:https://doi.org/10.1063/1.1724304· OSTI ID:4760296

All empty-space metrics that possess hypersurface orthogonal geodesic rays with nonvanishing shear and divergence are obtained. By straightforward integration of the Newman-Penrose equations, which are equivalent to the Einstein equations, all solutions are found in closed form and are unique up to a few arbitrary constants. The method of integration is illustrated in detail for certain solutions. (auth)

Research Organization:
Univ. of Pittsburgh
Sponsoring Organization:
USDOE
NSA Number:
NSA-17-002438
OSTI ID:
4760296
Journal Information:
J. Math. Phys., Journal Name: J. Math. Phys. Vol. Vol: 3
Country of Publication:
Country unknown/Code not available
Language:
English

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