Relativistic Resonant Relations between Massive Black Hole Binary and Extreme Mass Ratio Inspiral

Naoki Seto

Relativistic Resonant Relations between Massive Black Hole Binary and Extreme Mass Ratio Inspiral

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arxiv 1202.4761 v1 pith:GQXKMGLP submitted 2012-02-21 astro-ph.CO gr-qc

Naoki Seto This is my paper · ORCID

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One component of a massive black hole binary (MBHB) might capture a small third body, and then a hierarchical, inclined triple system would be formed. With the post-Newtonian approximation including radiation reaction, we analyzed the evolution of the triple initially with small eccentricities. We found that an essentially new resonant relation could arise in the triple system. Here relativistic effects are crucial. Relativistic resonances, including the new one, stably work even for an outer MBHB of comparable masses, and significantly change the orbit of the inner small body.

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Effect of a second compact object on stable circular orbits
gr-qc 2019-08 accept novelty 5.0 of 10

In the Majumdar-Papapetrou two-black-hole spacetime, the mass ratio of the two holes divides into four regimes separated by three critical values that control the existence and topology of stable circular orbits.

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