On integrating Einstein's equations using the Bondi metric (Q1083041)
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scientific article; zbMATH DE number 3975809
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On integrating Einstein's equations using the Bondi metric |
scientific article; zbMATH DE number 3975809 |
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On integrating Einstein's equations using the Bondi metric (English)
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1987
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It is demonstrated that a closed form, time-dependent, expression for the axisymmetric Bondi metric may be obtained through a straightforward integration of Einstein's equations. The solution is shown to be a special case of Petrov Type I solutions having shearing geodesic rays (Newman-Tamburino). The evolution equation is expanded in powers of 1/r and it is found that the expansions can be useful in identifying other potential solutions.
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Bondi metric
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Einstein's equations
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Petrov Type I solutions
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0.7530716061592102
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0.7369295358657837
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