Analytical solutions for weak black hole kicks
arXiv:1409.0598 · doi:10.1007/s10509-014-2115-4
Abstract
The black hole is modeled by a combined gravitational potential of the bulge, disk and halo and is subjected to an initial weak kick. The resulting differential equations are set up, and shown to possess analytical solutions. The effects of black hole accretion and dynamical friction are also incorporated into this analytical framework. The resultant frequencies and amplitudes are computed, and are compared with the ones obtained from numerical simulations. Within the valid range of parameters of the analytical model, the two sets of results are shown to be in reasonable agreement. It is shown that this model reproduces the linear dependence of the amplitude on the initial kick velocity, and the constant of proportionality is close to that obtained from the simulations. The analytical treatment presented is quite general, and its applications to other areas are also indicated.
11 pages, 3 figures, 1 table; accepted for publication in Astrophysics and Space Science
References in corpus (16)
- Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
- Alignment of the spins of supermassive black holes prior to coalescence
- Observable Signatures of a Black Hole Ejected by Gravitational Radiation Recoil in a Galaxy Merger
- Recoiling black holes: electromagnetic signatures, candidates, and astrophysical implications
- Effects of gravitational-wave recoil on the dynamics and growth of supermassive black holes
- Prompt Shocks in the Gas Disk Around a Recoiling Supermassive Black Hole Binary
- Superkicks in Hyperbolic Encounters of Binary Black Holes
- A Displaced Supermassive Black Hole in M87
- EM counterparts of recoiling black holes: general relativistic simulations of non-Keplerian discs
- Off-nuclear AGN as a signature of recoiling massive black holes
- Gravitational Wave Recoil Oscillations of Black Holes: Implications for Unified Models of Active Galactic Nuclei
- Star Clusters Around Recoiled Black Holes in the Milky Way Halo
- Imprints of recoiling massive black-holes on the hot gas of early type galaxies
- Modeling Gravitational Recoil Using Numerical Relativity
- Dynamics of Kicked and Accelerated Massive Black Holes in Galaxies
- X-Ray Emission from a Supermassive Black Hole Ejected from the Center of a Galaxy