English

Modified Gravity Models Admitting Second Order Equations of Motion

General Relativity and Quantum Cosmology 2015-10-28 v2

Abstract

The aim of this paper is to find higher order geometrical corrections to the Einstein-Hilbert action that can lead to only second order equations of motion. The metric formalism is used, and static spherically symmetric and Friedmann-Lema\^itre space-times are considered, in four dimensions. The FKWC-basis are introduced in order to consider all the possible invariant scalars, and both polynomial and non-polynomial gravities are investigated.

Keywords

Cite

@article{arxiv.1508.06178,
  title  = {Modified Gravity Models Admitting Second Order Equations of Motion},
  author = {Aimeric Colléaux and Sergio Zerbini},
  journal= {arXiv preprint arXiv:1508.06178},
  year   = {2015}
}

Comments

16 pages, minor modifications, published version

R2 v1 2026-06-22T10:41:09.371Z