English

The Cauchy problem of f(R) gravity

General Relativity and Quantum Cosmology 2008-11-26 v2 Astrophysics High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.0709.4414,
  title  = {The Cauchy problem of f(R) gravity},
  author = {Nicolas Lanahan-Tremblay and Valerio Faraoni},
  journal= {arXiv preprint arXiv:0709.4414},
  year   = {2008}
}

Comments

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