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arXiv · gr-qc/0109005

The Newtonian limit of fourth and higher order gravity

Ines Quandt·H. -J. Schmidt
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Abstract

We consider the Newtonian limit of the theory based on the Lagrangian L = R + \sum a_k R \Box^k R. The gravitational potential of a point mass turns out to be a combination of Newtonian and Yukawa terms. For sixth-order gravity the coefficients are calculated explicitly. For the general case one gets as a result: The the potential is always unbounded near the origin.

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Ines Quandt, H. -J. Schmidt. 2001-09-04. The Newtonian limit of fourth and higher order gravity. https://doi.org/10.1002/asna.2113120205

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