{ "id": "1804.06116", "version": "v1", "published": "2018-04-17T09:04:29.000Z", "updated": "2018-04-17T09:04:29.000Z", "title": "Gravitational wave sources from inspiralling globular clusters in the Galactic Centre and similar environments", "authors": [ "Manuel Arca Sedda", "Alessia Gualandris" ], "comment": "21 pages, 29 figures, 6 tables. Accepted for publication in MNRAS", "doi": "10.1093/mnras/sty922", "categories": [ "astro-ph.GA" ], "abstract": "We model the inspiral of globular clusters (GCs) towards a galactic nucleus harboring a supermassive black hole (SMBH), a leading scenario for the formation of nuclear star clusters. We consider the case of GCs containing either an intermediate-mass black hole (IMBH) or a population of stellar mass black holes (BHs), and study the formation of gravitational wave (GW) sources. We perform direct summation $N$-body simulations of the infall of GCs with different orbital eccentricities in the live background of a galaxy with either a shallow or steep density profile. We find that the GC acts as an efficient carrier for the IMBH, facilitating the formation of a bound pair. The hardening and evolution of the binary depends sensitively on the galaxy's density profile. If the host galaxy has a shallow profile the hardening is too slow to allow for coalescence within a Hubble time, unless the initial cluster orbit is highly eccentric. If the galaxy hosts a nuclear star cluster, the hardening leads to coalescence by emission of GWs within $3-4$ Gyr. In this case, we find a IMBH-SMBH merger rate of $\\Gamma_{\\rm IMBH-SMBH} = 2.8\\times 10^{-3}$ yr$^{-1}$ Gpc$^{-3}$. If the GC hosts a population of stellar BHs, these are deposited close enough to the SMBH to form extreme-mass-ratio-inspirals with a merger rate of $\\Gamma_{\\rm EMRI} = 0.25$ yr$^{-1}$ Gpc$^{-3}$. Finally, the SMBH tidal field can boost the coalescence of stellar black hole binaries delivered from the infalling GCs. The merger rate for this merging channel is $\\Gamma_{\\rm BHB} = 0.4-4$ yr$^{-1}$ Gpc$^{-3}$.", "revisions": [ { "version": "v1", "updated": "2018-04-17T09:04:29.000Z" } ], "analyses": { "keywords": [ "gravitational wave sources", "inspiralling globular clusters", "galactic centre", "similar environments", "black hole binaries" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }