The Cauchy problem of f(R) gravity

Details The Cauchy problem of f(R) gravity The Cauchy problem of f(R) gravity

2007-09-27

arxiv.org/abs/0709.4414v2

Class.Quant.Grav.24:5667-5680,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1088/0264-9381/24/22/024

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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