Multipolar gravitational waveforms and ringdowns generated during the plunge from the innermost stable circular orbit into a Schwarzschild black hole

Antoine Folacci (1) , Mohamed Ould El Hadj (1)

1 UPP - Université Pascal Paoli

We study the gravitational radiation emitted by a massive point particle plunging from slightly below the innermost stable circular orbit into a Schwarzschild black hole. We consider both even- and odd-parity perturbations and describe them using the two gauge-invariant master functions of Cunningham, Price, and Moncrief. We obtain, for arbitrary directions of observation and, in particular, outside the orbital plane of the plunging particle, the regularized multipolar waveforms, i.e., the waveforms constructed by summing over of a large number of modes, and their unregularized counterparts constructed from the quasinormal-mode spectrum. They are in excellent agreement and our results permit us to especially emphasize the impact on the distortion of the waveforms of (i) the harmonics beyond the dominant (ℓ=2, m=±2) modes and (ii) the direction of observation, and therefore the necessity to take them into account in the analysis of the last phase of binary black hole coalescence.

Mots clés: numerical methods; General relativity; alternative theories of gravity; black hole: Schwarzschild; gravitational radiation; gravitational radiation: emission; black hole: binary: coalescence; quasinormal mode: spectrum; invariance: gauge; stability; orbit; numerical calculations

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Antoine Folacci, Mohamed Ould El Hadj. Multipolar gravitational waveforms and ringdowns generated during the plunge from the innermost stable circular orbit into a Schwarzschild black hole. Physical Review D, 2018, 98 (8), pp.084008. ⟨10.1103/PhysRevD.98.084008⟩. ⟨hal-01817920⟩