Engineering topics

Hiroyuki Nakano

Publications and source records attributed to Hiroyuki Nakano.

3 records

NASA NTRS2021

A Superposed Metric for Spinning Black Hole Binaries Approaching Merger

We construct an approximate metric that represents the spacetime of spinning binary black holes (BBH) approaching merger. We build the metric as an analytical superposition of two Kerr metrics in harmonic coordinates, where we transform each black hole term with time-dependent boosts describing an inspiral trajectory. The velocities and trajectories of the boost are obtained by solving the post-Newtonian (PN) equations of motion at 3.5 PN order. We analyze the spacetime scalars of the new metric and we show that it is an accurate approximation of Einstein’s field equations in vacuum for a BBH system in the inspiral regime. Furthermore, to prove the effectiveness of our approach, we test the metric in the context of a 3D general relativistic magnetohydrodynamical (GRMHD) simulation of accreting minidisks around the black holes. We compare our results with a previous well-tested spacetime construction based on the asymptotic matching method. We conclude that our new spacetime is well-suited for long-term GRMHD simulations of spinning binary black holes on their way to the merger.

Luciano Combi↗

NASA NTRS2021

Circumbinary Disk Accretion into Spinning Black Hole Binaries

Supermassive black hole binaries are likely to accrete interstellar gas through a circumbinary disk. Shortly before merger, the inner portions of this circumbinary disk are subject to general relativistic effects. To study this regime, we approximate the spacetime metric of close orbiting black holes by superimposing two boosted Kerr–Schild terms. After demonstrating the quality of this approximation, we carry out very long-term general relativistic magnetohydrodynamic simulations of the circumbinary disk. We consider black holes with spin dimensionless parameters of magnitude 0.9, in one simulation parallel to the orbital angular momentum of the binary, but in another anti-parallel. These are contrasted with spinless simulations. We find that, for a fixed surface mass density in the inner circumbinary disk, aligned spins of this magnitude approximately reduce the mass accretion rate by 14% and counter-aligned spins increase it by 45%, leaving many other disk properties unchanged.

AGN↗

NASA NTRS2021

Circumbinary Disk Accretion into Spinning Black Hole Binaries

Supermassive black hole binaries are likely to accrete interstellar gas through a circumbinary disk.Shortly before merger, the inner portions of this circumbinary disk are subject to general relativisticeffects. To study this regime, we approximate the spacetime metric of close orbiting black holes bysuperimposing two boosted Kerr-Schild terms. After demonstrating the quality of this approximation,we carry out very long-term general relativistic magnetohydrodynamic simulations of the circumbinarydisk. We consider black holes with spin dimensionless parameters of magnitude 0.9, in one simula-tion parallel to the orbital angular momentum of the binary, but in another anti-parallel. These arecontrasted with spinless simulations. We find that, for a fixed surface mass density in the inner cir-cumbinary disk, aligned spins of this magnitude approximately reduce the mass accretion rate by 14%and counter-aligned spins increase it by 45%, leaving many other disk properties unchanged.

Federico G Lopez Armengol↗