Newtonian Gravity in Theories with Inverse Powers of R

TL;DR

This paper explores theories of gravity involving inverse powers of the Ricci scalar, deriving exact solutions for point masses and demonstrating experimental consistency of the gravitational force.

Contribution

It provides exact metrics for point masses in inverse Ricci scalar theories and verifies their compatibility with experimental gravitational force measurements.

Findings

Exact metric solutions for point masses in these theories.

Gravitational force remains consistent with experiments.

Theories with inverse powers of R can be viable alternatives to general relativity.

Abstract

We discuss theories with inverse powers of the Ricci scalar. We find the exact metric produced by point masses in these theories, and show that the gravitational force between static objects is consistent with experiments.