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arxiv: 1508.06178 · v2 · submitted 2015-08-25 · 🌀 gr-qc

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Modified Gravity Models Admitting Second Order Equations of Motion

Aimeric Coll\'eaux , Sergio Zerbini
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classification 🌀 gr-qc
keywords orderequationsmotionsecondactionadmittingconsiderconsidered
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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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