Orateur
Description
The post-Newtonian approximation is an essential ingredient in constructing
waveform templates for binary systems of compact objects to be used in data
analysis of gravitational-wave signals. The phases of such signals, in
particular, must be determined analytically with great accuracy in order to
reduce the biases that may arise in parameter estimation or when combining
analytic results with numerical relativity. The computation of the source
quadrupole moment of two point-like bodies at the third post-Newtonian (3PN)
order is an important step towards getting the targeted 4PN gravitational-wave
phase. This talk sketches the way it has been achieved by means of dimensional
regularisation combined with renormalisation. It is in fact a Hodge-type dual
of the current moment with the symmetry of some specific Young tableau that
has been generalised to d dimensions for this purpose. The final result is
used to construct the 3PN gravitational-wave mode (2,1).
