The Cauchy problem of f(R) gravity

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.

16 latex pages, to appear in Class. Quantum Grav; typographical errors corrected, new references added

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• Black holes, gravitational waves and fundamental physics: a roadmap
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