The gravitational quadrupole formulae and gravitationally bound matter systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Fields, Gravitational Waves, Quadrupoles, Relativity, Einstein Equations, Energy Dissipation, Fourier Transformation

Scientific paper

For gravitationally bound matter systems, a new approach to the gravitational quadrupole radiation problem is presented. It simultaneously gives the energy loss rate at infinity and the radiation-reaction force on the matter system, without using singular asymptotic expansions and without encountering long-range divergences. The quadrupole formulae are confirmed.

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