The Newtonian limit of fourth and higher order gravity

Preprint

4 September 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0109005

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.

Keywords

CALCULATED EXPLICITLY
NEWTONIAN LIMIT
GRAVITATIONAL
ORDER GRAVITY
YUKAWA TERMS
SIXTH ORDER
MASS TURNS
SUM A_K

All Related Versions

Version 1, 2001-09-04, ArXiv
Published version: Astronomische Nachrichten, 312 (2), 97.

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