On the complementarity of pulsar timing and space laser interferometry for supermassive black hole binaries individual detection

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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7 pages, 2 figures

Scientific paper

For the observation of an individual supermassive black hole binary (SMBHB), the complementarity between pulsar timing (PT) and space laser interferometry (SLI) has been previously suggested. Herein such complementarity is thoroughly examined. Binaries of (sub-)billion solar masses may indeed transit from PT to LSI bandwidths in a period ranging from few months to few years, depending on the chirp mass of the SMBHB and on the high frequency limit of the sensitivity band of PT systems. At the end of this transit period, SLI may detect the final moments of the same coalescence including the ringing phase, if its sensitivity at low frequency is adequate. The likelihood of sequential detection is nevertheless hindered by the current estimates on coalescence rates of (sub-)billion solar mass binaries. The bounding parameters are drawn by current PT and future SK (Square Kilometer) arrays, and by LISA (Laser Interfermeter Space Antenna) and LISA-derived configurations under consideration.

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