English

On Ellis' programme within fourth order gravity

General Relativity and Quantum Cosmology 2007-05-23 v1

Abstract

For the non-tachyonic curvature squared action we show that the expanding Bianchi-type I models tend to the dust-filled Einstein-de Sitter model for t tending to infinity if the metric is averaged over the typical oscillation period. Applying a conformal equivalence between curvature squared action and a minimally coupled scalar field (which holds for all dimensions > 2) the problem is solved by discussing a massive scalar field in an anisotropic cosmological model.

Keywords

Cite

@article{arxiv.gr-qc/0106036,
  title  = {On Ellis' programme within fourth order gravity},
  author = {H. -J. Schmidt},
  journal= {arXiv preprint arXiv:gr-qc/0106036},
  year   = {2007}
}

Comments

9 pages, LaTeX, no figure