2015/08/31 by Aimeric Colléaux, Sergio Zerbini · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.3390/e17106643
16 pages, minor modifications, published version
arxiv created 2015/09/22 · arxiv updated 2015/10/28
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-Lemaître 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.