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arXiv · 1607.03784

The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession

Riccardo March·Jorge Páramos·Orfeu Bertolami·Simone Dell'Agnello
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Abstract

The effects of a nonminimally coupled curvature-matter model of gravity on a perturbed Minkowski metric are presented. The action functional of the model involves two functions $f^1(R)$ and $f^2(R)$ of the Ricci scalar curvature $R$. This work expands upon previous results, extending the framework developed there to compute corrections up to order $O(1/c^4)$ of the $00$ component of the metric tensor. It is shown that additional contributions arise due to both the non-linear form $f^1(R)$ and the nonminimal coupling $f^2(R)$, including exponential contributions that cannot be expressed as an expansion in powers of $1/r$. Some possible experimental implications are assessed with application to perihelion precession.

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Riccardo March, Jorge Páramos, Orfeu Bertolami, Simone Dell'Agnello. 2016-07-07. The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession. https://doi.org/10.1103/physrevd.95.024017

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