The Newtonian limit of fourth and higher order gravity
General Relativity and Quantum Cosmology
2015-06-25 v1
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.
Cite
@article{arxiv.gr-qc/0109005,
title = {The Newtonian limit of fourth and higher order gravity},
author = {Ines Quandt and H. -J. Schmidt},
journal= {arXiv preprint arXiv:gr-qc/0109005},
year = {2015}
}
Comments
12 pages, LaTeX, reprinted from Astron. Nachr. 312 (1991) 97