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arXiv · 1508.06178

Modified Gravity Models Admitting Second Order Equations of Motion

Aimeric Colléaux·Sergio Zerbini
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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.

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Aimeric Colléaux, Sergio Zerbini. 2015-08-25. Modified Gravity Models Admitting Second Order Equations of Motion. https://doi.org/10.3390/e17106643

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