Invariant solutions of the wave equation on static spherically symmetric spacetimes admitting \(G_7\) isometry algebra (Q2337844)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant solutions of the wave equation on static spherically symmetric spacetimes admitting \(G_7\) isometry algebra |
scientific article |
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Invariant solutions of the wave equation on static spherically symmetric spacetimes admitting \(G_7\) isometry algebra (English)
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20 November 2019
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Summary: Algorithms to construct the optimal systems of dimension of at most three of Lie algebras are given. These algorithms are applied to determine the Lie algebra structure and optimal systems of the symmetries of the wave equation on static spherically symmetric spacetimes admitting \(G_7\) as an isometry algebra. Joint invariants and invariant solutions corresponding to three-dimensional optimal systems are also determined.
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wave equation
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spherically symmetric spacetimes
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Lie symmetries
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roots
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optimal systems
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invariant solutions
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