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.
Relativistic Resonant Relations between Massive Black Hole Binary and Extreme Mass Ratio Inspiral
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2019 1verdicts
ACCEPT 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Effect of a second compact object on stable circular orbits
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.