On parallel null 1-planes in space-time

Details On parallel null 1-planes in space-time On parallel null 1-planes in space-time

Jul 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ncimb..34..169o&link_type=abstract

Nuovo Cimento, Sezione B, vol. 34 B, July 11, 1976, p. 169-181.

Astronomy and Astrophysics

Astrophysics

3

Einstein Equations, Gravitation Theory, Relativity, Space-Time Functions, Astronomical Models, Astrophysics, Canonical Forms, Energy Distribution, Maxwell Equation, Minkowski Space, Partial Differential Equations, Riemann Manifold, Tensors, Universe

Scientific paper

A parallel null 1-plane in space-time consists of a recurrent field of null vectors. It is shown that space-time may admit at most two such fields, unless it is flat. Canonical forms for the corresponding metrics and Petrov types for the Weyl tensor are determined. Considering the recurrence vector of the plane as an appropriate candidate for the electromagnetic potential, the Lienard-Wiechert formula is generalized to curved space-time. This approach relates the retarded distance with the Riemannian curvature of space-time.

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