Interpreting a conformally flat pure radiation space-time

Details Interpreting a conformally flat pure radiation space-time Interpreting a conformally flat pure radiation space-time

1998-08-24

arxiv.org/abs/gr-qc/9808061v2

Class.Quant.Grav. 15 (1998) 3863-3871

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, Plain TeX, 2 figures. To appear in Class. Quantum Grav. Reference added

Scientific paper

10.1088/0264-9381/15/12/015

A physical interpretation is presented of the general class of conformally flat pure radiation metrics that has recently been identified by Edgar and Ludwig. It is shown that, at least in the weak field limit, successive wave surfaces can be represented as null (half) hyperplanes rolled around a two-dimensional null cone. In the impulsive limit, the solution reduces to a pp-wave whose direction of propagation depends on retarded time. In the general case, there is a coordinate singularity which corresponds to an envelope of the wave surfaces. The global structure is discussed and a possible vacuum extension through the envelope is proposed.

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