Gravitational waveforms for 2- and 3-body gravitating systems

Details Gravitational waveforms for 2- and 3-body gravitating systems Gravitational waveforms for 2- and 3-body gravitating systems

2009-06-08

arxiv.org/abs/0906.1448v1

Phys.Rev.Lett.102:251101,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 4 figures, accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.102.251101

Different numbers of self-gravitating particles (in different types of periodic motion) are most likely to generate very different shapes of gravitational waves, some of which, however, can be accidentally almost the same. One such example is a binary and a three-body system for Lagrange's solution. To track the evolution of these similar waveforms, we define a chirp mass to the triple system. Thereby, we show that the quadrupole waveforms cannot distinguish the sources. It is suggested that waveforms with higher $\ell$-th multipoles will be important for classification of them (with a conjecture of $\ell \leq N$ for N particles).

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