Birkhoff's theorem and perturbations in \(f(R)\) theories (Q2902557)
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scientific article; zbMATH DE number 6069643
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Birkhoff's theorem and perturbations in \(f(R)\) theories |
scientific article; zbMATH DE number 6069643 |
Statements
21 August 2012
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Birkhoff's theorem
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perturbations
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fourth-order gravity
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Birkhoff's theorem and perturbations in \(f(R)\) theories (English)
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Birkhoff's theorem states that under certain circumstances, spherically symmetric solutions of Einstein's field equation possess a fourth isometry. The present paper deals with the question, why an analogous theorem is not analogously valid in fourth-order gravity, especially in \(f(R)\) theories. Further it is discussed, whether in a perturbative sense, a partial validity can be found.
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