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We explore the mergers of binary-black-hole (BBH) systems in close proximity to a supermassive black hole (SMBH) bound in an orbit. Our findings reveal that incorporating the strong gravity effects of the SMBH using a Kerr metric leads to significant modifications in the system’s dynamics, deviating from the simplified Newtonian point particle model for the SMBH. The study involves a detailed analysis of the system’s dynamics, incorporating a quadrupole approximation to account for tidal forces from the SMBH. The secular Hamiltonian is derived by averaging over both inner and outer orbits. The strong gravity effects of the SMBH play a crucial role in amplifying the von Zeipel-Lidov-Kozai mechanism, resulting in an increased number of cycles, higher eccentricity, and a shortened merger time, especially when the binary is close to or at the SMBH’s innermost stable orbit.

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Gravitational Dynamics of Binary Black Holes Near Supermassive Black Holes

  • 会议论文

  • 发表日期：

    2025年

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  • Gianluca Grignani,
  • Filippo Camilloni,
  • Troels Harmark,
  • Marta Orselli,
  • Daniele Pica

摘要

We explore the mergers of binary-black-hole (BBH) systems in close proximity to a supermassive black hole (SMBH) bound in an orbit. Our findings reveal that incorporating the strong gravity effects of the SMBH using a Kerr metric leads to significant modifications in the system’s dynamics, deviating from the simplified Newtonian point particle model for the SMBH. The study involves a detailed analysis of the system’s dynamics, incorporating a quadrupole approximation to account for tidal forces from the SMBH. The secular Hamiltonian is derived by averaging over both inner and outer orbits. The strong gravity effects of the SMBH play a crucial role in amplifying the von Zeipel-Lidov-Kozai mechanism, resulting in an increased number of cycles, higher eccentricity, and a shortened merger time, especially when the binary is close to or at the SMBH’s innermost stable orbit.