The Lewis metric as a vacuum exterior for a rotating perfect-fluid cylinder (Q2765212)
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scientific article; zbMATH DE number 1694284
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Lewis metric as a vacuum exterior for a rotating perfect-fluid cylinder |
scientific article; zbMATH DE number 1694284 |
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The Lewis metric as a vacuum exterior for a rotating perfect-fluid cylinder (English)
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11 November 2002
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Einstein's equation
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vacuum metric
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Lewis metric
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0.87984896
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0.8765716
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0.87200874
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0.8584052
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0.8531557
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0.85309786
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0.85017526
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0.84523034
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0.8435327
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A solution of Einstein's equations obtained previously by the author, representing a cylindrically symmetric rigidly rotating perfect fluid of finite radius, is matched to a vacuum exterior using the stationary vacuum metric derived by Lewis. Two forms of the Lewis metric are required, depending on the range of a parameter \(s.\) The boundary matching conditions employed are those of Lichnerowicz. The matching process is outlined and the properties of the exterior metric are presented in some detail. These provide, according to the model, significant results concerning the physical and geometric consequences of the rigid mass rotation in general relativity.
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