Gravitational waves from generalized newtonian sources

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.

arXiv comment30 pages, 1 figure; update includes new appendix on gauge fixing and improved figure; v3: the last expression in equation (76) is replaced by a simpler and more useful one

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