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The Cauchy problem of f(R) gravity

Nicolas Lanahan-Tremblay and Valerio Faraoni

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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.


PACS

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

95.30.Sf Relativity and gravitation

04.20.Ex Initial value problem, existence and uniqueness of solutions

MSC

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 22 (21 November 2007)

Received 31 July 2007, in final form 23 September 2007

Published 6 November 2007



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