Gravitational waves from generalized newtonian sources

TL;DR

This paper reviews the theory of gravitational waves from generalized Newtonian sources, focusing on the quadrupole approximation, modified conservation laws, and orbital evolution including precession and capture conditions.

Contribution

It introduces a generalized Newtonian framework with a 1/r3 force and analyzes gravitational wave emission and orbital dynamics within this context.

Findings

Derived conditions for two-body capture via gravitational radiation.

Analyzed orbital precession due to the generalized force.

Applied the quadrupole approximation to new Newtonian systems.

Abstract

I review the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational-wave flux are presented. The theory is applied to two-body systems in bound and scattering states subject to newtonian gravity generalized to include a 1/r3 force allowing for orbital precession. The evolution of the orbits is studied in the adiabatic approximation. From these results I derive the conditions for capture of two bodies to form a bound state by the emission of gravitational radiation.