The Newtonian limit of fourth and higher order gravity

Details The Newtonian limit of fourth and higher order gravity The Newtonian limit of fourth and higher order gravity

2001-09-04

arxiv.org/abs/gr-qc/0109005v1

Astron.Nachr. 312 (1991) 97

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, LaTeX, reprinted from Astron. Nachr. 312 (1991) 97

Scientific paper

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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