2018/09/30 by J.W. van Holten, J. W. van Holten
Physics and Astronomy · #Adiabatic process #Astrophysical Phenomena and Observations #Classical mechanics #Conservation law #Cosmology and Gravitation Theories #Energy–momentum relation #Gravitation #Gravitational acceleration #Gravitational binding energy #Gravitational redshift #Gravitational wave #Minkowski space #Newtonian fluid #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #astro-ph.SR #gr-qc
paper · pdf · doi:10.1002/prop.201800083
published as Fortschritte der Physik (2019) 1800083 · 30 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
openalex publication_date 2019/01/07 · arxiv created 2019/02/10 · arxiv updated 2019/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 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.