Galaxies with Supermassive Binary Black Holes: (I) A Possible Model for the Centers of Core Galaxies

Abstract

The dynamics of galactic systems with central binary black holes is studied. The model is a modification from the restricted three body problem, in which a galactic potential is added as an external potential. Considering the case with an equal mass binary black holes, the conditions of existence of equilibrium points, including Lagrange Points and additional new equilibrium points, i.e. Jiang-Yeh Points, are investigated. A critical mass is discovered to be fundamentally important. That is, Jiang-Yeh Points exist if and only if the galactic mass is larger than the critical mass. The stability analysis is performed for all equilibrium points. The results that Jiang-Yeh Points are unstable could lead to the core formation in the centers of galaxies.

30 pages, accepted for publication in Astrophysics and Space Science

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Cited by in corpus (4)

• Effects of albedo and disc on the zero velocity curves and linear stability of equilibrium points in the generalized restricted three body problem
• Triangular libration points in the R3BP under combined effects of oblateness, radiation and power-law profile
• Galaxies with Supermassive Binary Black Holes: (II) A Model with Cuspy Galactic Density Profiles
• Galaxies with Supermassive Binary Black Holes: (III) The Roche Lobes and Jiang-Yeh Lobe in a Core System