Generalization of a Theorem by Goldberg and Sachs

Journal Article · Sun Mar 31 23:00:00 EST 1963 · Journal of Mathematical Physics (New York) (U.S.)

DOI:https://doi.org/10.1063/1.1703980· OSTI ID:4719968

Robinson, I; Schild, A

A connection is established between algebraic degeneracy of the Weyl tensor, the existence of a null geodesic shearfree congruence, and certain restrictions on the Ricci tensor that are weaker than the gravitational equations for empty space. The result is roughly, with some important qualifications, that any two of these conditions imply the third. These restrictions on the metric are shown to be invariant under conformal transformations. (auth)

• Research Organization: Cornell Univ., Ithaca, N.Y.; Syracuse Univ., N.Y.
• NSA Number: NSA-17-024129
• OSTI ID: 4719968
• Journal Information: Journal of Mathematical Physics (New York) (U.S.), Journal Name: Journal of Mathematical Physics (New York) (U.S.) Vol. Vol: 4; ISSN JMAPA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

EQUATIONS
GRAVITATION
PHYSICS
RELATIVITY THEORY
RICCI TENSOR
TENSORS
VECTORS