Resumen de Binary Black Holes and Gravitational Wave Production: Post-Newtonian Analytic Treatment
Within a post-Newtonian approximation scheme the Einstein field equations are solved for the dynamics of the decaying orbits of binary black holes and the related gravitational wave emission. The black holes are modelled by two Dirac delta functions in conformally related d-dimensional euclidean space. The limit from the Einstein field equations in (d+1)-dimensional spacetime is applied to achieve well- defined mathematical expressions in 4-dimensional spacetime. The conservative orbital dynamics is presented up to the third post-Newtonian order of approximation and the decaying orbital phase up to the four-and-a-half post-Newtonian order. The gravitational waveform is given to second post-Newtonian order.
