Computing spacetime curvature via differential algebraic equations (Q1917456)
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scientific article; zbMATH DE number 897541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing spacetime curvature via differential algebraic equations |
scientific article; zbMATH DE number 897541 |
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Computing spacetime curvature via differential algebraic equations (English)
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29 April 1997
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The paper deals with numerical solution of the Einstein field equations of general relativity. The method of lines and a differential-algebraic equations solver are used. The nonlinear partial differential equations are spatially discretized leading to a system of ordinary differential equations coupled with a system of algebraic equations. The method is applied to the spherically symmetric nonrotating black holes, the obtained numerical results are compared with analytically known solutions, and the accuracy is studied for different numbers of gridpoints at different time moments.
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spacetime curvature
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numerical examples
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Einstein field equations
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general relativity
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method of lines
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differential-algebraic equations
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symmetric nonrotating black holes
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0.9491375
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0.9244342
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0.8825021
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0.85940766
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