Conformal continuations in gravitation theory with Lagrangian \(F(R)\) (Q852217)

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scientific article; zbMATH DE number 5076463
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Conformal continuations in gravitation theory with Lagrangian \(F(R)\)
scientific article; zbMATH DE number 5076463

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    Conformal continuations in gravitation theory with Lagrangian \(F(R)\) (English)
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    28 November 2006
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    Static spherically-symmetric vacuum solutions of \(f(R)\)-gravitational theories are considered. Equations of \(f(R)\)-theories are reduced to the Einstein equations with a source in the form of a scalar field with a potential. The necessary and sufficient conditions of the existence of solutions admitting conformal continuations are formulated.
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    \(f(R)\)-theories
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    conformal continuations
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