Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-01-29
Class.Quant.Grav. 15 (1998) 1971-1999
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
45 pages, submitted to Class. Quantum Grav
Scientific paper
10.1088/0264-9381/15/7/013
This paper constructs the multipole expansion (in general relativity) of the gravitational field generated by a slowly-moving isolated source. We introduce some definitions for the source multipole moments, valid to all orders in a post-Newtonian expansion, and depending in a well-defined way on the total stress-energy pseudo-tensor of the material and gravitational fields. Previously obtained expressions of the source multipole moments are recovered in the appropriate limits. The source moments parametrize the linearized approximation of the gravitational field exterior to the source, as computed by means of a specific post-Minkowskian algorithm defined in a previous work. Since the radiative multipole moments parametrizing the radiation field far from the source can be obtained as non-linear functionals of the source moments, the present paper permits relating the radiation field far from a slowly-moving source to the stress-energy pseudo-tensor of the source. This should be useful when comparing to theory the future observations of gravitational radiation by the LIGO and VIRGO experiments.
No associations
LandOfFree
On the multipole expansion of the gravitational field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the multipole expansion of the gravitational field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the multipole expansion of the gravitational field will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-413464