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The Cauchy problem of f(R) gravity

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Published Article
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DOI: 10.1088/0264-9381/24/22/024
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arXiv
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Abstract

The initial value problem of metric and Palatini f(R)gravity is studied by using the dynamical equivalence between these theories and Brans-Dicke gravity. The Cauchy problem is well-formulated for metric f(R)gravity in the presence of matter and well-posed in vacuo. For Palatini f(R)gravity, instead, the Cauchy problem is not well-formulated.

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