Gravitational waveforms for 2- and 3-body gravitating systems

Abstract

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 $\ell \le N$ for N particles).

11 pages, 4 figures, accepted for publication in PRL

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Cited by in corpus (19)

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• Numerical evolution of multiple black holes with accurate initial data
• Characterization of the gravitational wave emission of three black holes
• Gravitational Waves from Hierarchical Triple Systems with Kozai-Lidov Oscillation
• Gravitational wave forms, polarizations, response functions and energy losses of triple systems in Einstein-Aether theory
• Tidal deformations of a binary system induced by an external Kerr black hole
• Triangular solution to general relativistic three-body problem for general masses
• Gravitational wave forms for a three-body system in Lagrange's orbit: parameter determinations and a binary source test
• Uniqueness of collinear solutions for the relativistic three-body problem
• Post-Newtonian effects on the stability of the triangular solution in the three-body problem for general masses
• Gravitational Waves from Periodic Three-Body Systems
• Innermost stable circular orbits in Majumdar--Papapetrou dihole spacetime
• Nonchaotic evolution of triangular configuration due to gravitational radiation reaction in the three-body problem
• Perturbational Treatment of the Gravitational Potential Effect on Binary Black Hole Evolution
• Collinear and triangular solutions to the coplanar and circular three-body problem in the parametrized post-Newtonian formalism
• The linear stability of the post-Newtonian triangular equilibrium in the three-body problem
• Gravitational Waves in the Circular Restricted Three Body Problem
• Triangular solution to the planar elliptic three-body problem in the parametrized post-Newtonian formalism