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We review theoretical findings, astrophysical modeling, and current gravitational-wave evidence of hierarchical stellar-mass black-hole mergers.
Effects of the merger history on the merger rate density of primordial black hole binaries
Liu, L., Guo, Z.-K. & Cai, R.-G · 1901
Earlier work this paper cites.
Venumadhav, T., Zackay, B., Roulet, J., Dai, L. & Zaldarriaga, M · 1902
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The Zwicky Transient Facility: System Overview, Performance, and First Results
Bellm, E. C. et al · 1902
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On the properties of the massive binary black hole merger GW170729
Chatziioannou, K. et al · 1903
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What GW170729’s Exceptional Mass and Spin Tells Us about Its Family Tree
Kimball, C., Berry, C. & Kalogera, V · 1903
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New binary black hole mergers in the second observing run of Advanced LIGO and Advanced Virgo
Venumadhav, T., Zackay, B., Roulet, J., Dai, L. & Zaldarriaga, M · 1904
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The Impact of Pair-instability Mass Loss on the Binary Black Hole Mass Distribution
Stevenson, S. et al · 1904
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Surrogate models for precessing binary black hole simulations with unequal masses
Varma, V. et al · 1905
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Picky Partners: The Pairing of Component Masses in Binary Black Hole Mergers
Fishbach, M. & Holz, D. E · 1905
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Broekgaarden, F. S. et al · 1905
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Bavera, S. S. et al · 1906
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Escape speed of stellar clusters from multiple-generation black-hole mergers in the upper mass gap
Gerosa, D. & Berti, E · 1906
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Rodriguez, C. L. et al · 1906
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Hierarchical Black Hole Mergers in Active Galactic Nuclei
Yang, Y. et al · 1906
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Merger Rate of Stellar Black Hole Binaries above the Pair-instability Mass Gap
Mangiagli, A., Bonetti, M., Sesana, A. & Colpi, M · 1907
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Most Black Holes Are Born Very Slowly Rotating
Fuller, J. & Ma, L · 1907
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McKernan, B., Ford, K. E. S., O’Shaugnessy, R. & Wysocki, D · 1907
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McKernan, B. et al · 1907
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Black holes in the low-mass gap: Implications for gravitational-wave observations
Gupta, A. et al · 1909
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Where Are the Electromagnetic-wave Counterparts of Stellar-mass Binary Black Hole Mergers?
Yi, S.-X. & Cheng, K. S · 1909
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Nitz, A. H. et al · 1910
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Mind the Gap: The Location of the Lower Edge of the Pair-instability Supernova Black Hole Mass Gap
Farmer, R., Renzo, M., de Mink, S. E., Marchant, P. & Justham, S · 1910
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Amplification of superkicks in black-hole binaries through orbital eccentricity
Sperhake, U., Rosca-Mead, R., Gerosa, D. & Berti, E · 1910
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Detecting Gravitational Waves With Disparate Detector Responses: Two New Binary Black Hole Mergers
Zackay, B., Dai, L., Venumadhav, T., Roulet, J. & Zaldarriaga, M · 1910
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On the Rate of Neutron Star Binary Mergers from Globular Clusters
Ye, C. S. et al · 1910
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The Assembly of the First Massive Black Holes
Inayoshi, K., Visbal, E. & Haiman, Z · 1911
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Binary black holes in the pair instability mass gap
Di Carlo, U. N. et al · 1911
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The Formation of a 70 M ⊙ Black Hole at High Metallicity
Belczynski, K. et al · 1911
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Generation of massive stellar black holes by rapid gas accretion in primordial dense clusters
Roupas, Z. & Kazanas, D · 1911
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Safarzadeh, M., Hamers, A. S., Loeb, A. & Berger, E · 1911
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Merger rates in primordial black hole clusters without initial binaries
Korol, V., Mandel, I., Miller, M. C., Church, R. P. & Davies, M. B · 1911
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Black Hole Coagulation: Modeling Hierarchical Mergers in Black Hole Populations
Doctor, Z., Wysocki, D., O’Shaughnessy, R., Holz, D. E. & Farr, B · 1911
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The Most Massive Binary Black Hole Detections and the Identification of Population Outliers
Fishbach, M., Farr, W. M. & Holz, D. E · 1911
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GW170817A as a Hierarchical Black Hole Merger
Gayathri, V. et al · 1911
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Formation and Evolution of Compact-object Binaries in AGN Disks
Tagawa, H., Haiman, Z. & Kocsis, B · 1912
Earlier work this paper cites.
Gravitational recoil from accretion-aligned black-hole binaries
Lousto, C. O., Zlochower, Y., Dotti, M. & Volonteri, M · 1923
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The Lense-Thirring Effect and Accretion Disks around Kerr Black Holes
Bardeen, J. M. & Petterson, J. A · 1975
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Common Envelope Binaries
Paczynski, B · 1976
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Massive black hole binaries in active galactic nuclei
Begelman, M. C., Blandford, R. D. & Rees, M. J · 1980
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Tidal evolution in close binary systems
Hut, P · 1981
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Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects (John Wiley & Sons, Ltd, 1986)
Shapiro, S. L. & Teukolsky, S. A · 1986
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The Collapse of Dense Star Clusters to Supermassive Black Holes: Binaries and Gravitational Radiation
Quinlan, G. D. & Shapiro, S. L · 1987
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Dynamical Evolution of Dense Clusters of Compact Stars
Quinlan, G. D. & Shapiro, S. L · 1989
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N-Body Evolution of Dense Clusters of Compact Stars
Lee, M. H · 1993
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The Mass Distribution of Stellar Black Holes
Bailyn, C. D., Jain, R. K., Coppi, P. & Orosz, J. A · 1998
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Star cluster ecology. III. Runaway collisions in young compact star clusters
Portegies Zwart, S. F., Makino, J., McMillan, S. L. W. & Hut, P · 1999
Earlier work this paper cites.
A Fundamental Relation between Supermassive Black Holes and Their Host Galaxies
Ferrarese, L. & Merritt, D · 2000
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Spin-Orbit Misalignment in Close Binaries with Two Compact Objects
Kalogera, V · 2000
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Miller, S., Callister, T. A. & Farr, W. M · 2001
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A Trend in the Effective Spin Distribution of LIGO Binary Black Holes with Mass
Safarzadeh, M., Farr, W. M. & Ramirez-Ruiz, E · 2001
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Missing Link Found? The “Runaway” Path to Supermassive Black Holes
Ebisuzaki, T. et al · 2001
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The Merger History of Supermassive Black Holes in Galaxies
Menou, K., Haiman, Z. & Narayanan, V. K · 2001
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Merger history of primordial black-hole binaries
Wu, Y · 2001
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Coalescence of two spinning black holes: An effective one-body approach
Damour, T · 2001
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Renzo, M. et al · 2002
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The Unique History of the Globular Cluster ω \omega Centauri
Gnedin, O. Y. et al · 2002
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Runaway Merging of Black Holes: Analytical Constraint on the Timescale
Mouri, H. & Taniguchi, Y · 2002
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Production of intermediate-mass black holes in globular clusters
Miller, M. C. & Hamilton, D. P · 2002
Earlier work this paper cites.
The Runaway Growth of Intermediate-Mass Black Holes in Dense Star Clusters
Portegies Zwart, S. F. & McMillan, S. L. W · 2002
Earlier work this paper cites.
Formation of low-spinning 100 M ⊙ black holes
Belczynski, K. & Banerjee, S · 2002
Earlier work this paper cites.
Gravitational-wave population inference with deep flow-based generative network
Wong, K. W. K., Contardo, G. & Ho, S · 2002
Earlier work this paper cites.
On the Eccentricity Distribution of Coalescing Black Hole Binaries Driven by the Kozai Mechanism in Globular Clusters
Wen, L · 2003
Earlier work this paper cites.
How Massive Single Stars End Their Life
Heger, A., Fryer, C. L., Woosley, S. E., Langer, N. & Hartmann, D. H · 2003
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The Formation of Galaxy Stellar Cores by the Hierarchical Merging of Supermassive Black Holes
Volonteri, M., Madau, P. & Haardt, F · 2003
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Fingerprints of Binary Black Hole Formation Channels Encoded in the Mass and Spin of Merger Remnants
Arca Sedda, M., Mapelli, M., Spera, M., Benacquista, M. & Giacobbo, N · 2003
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Spectral energy distributions of marginally self-gravitating quasi-stellar object discs
Sirko, E. & Goodman, J · 2003
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Endpoint of the up-down instability in precessing binary black holes
Mould, M. & Gerosa, D · 2003
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The evolution of primordial black holes and their final observable spins
De Luca, V., Franciolini, G., Pani, P. & Riotto, A · 2003
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van Son, L. A. C. et al · 2004
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The mass gap, the spin gap, and the origin of merging binary black holes
Baibhav, V. et al · 2004
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Consequences of Gravitational Radiation Recoil
Merritt, D., Milosavljević, M., Favata, M., Hughes, S. A. & Holz, D. E · 2004
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Growth of Intermediate-Mass Black Holes in Globular Clusters
Gültekin, K., Miller, M. C. & Hamilton, D. P · 2004
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The Bardeen-Petterson effect in accreting supermassive black hole binaries: a systematic approach
Gerosa, D., Rosotti, G. & Barbieri, R · 2004
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GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
Abbott, R. et al · 2004
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Mandel, I. & Fragos, T · 2004
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Spin Evolution of Stellar-mass Black Hole Binaries in Active Galactic Nuclei
Tagawa, H., Haiman, Z., Bartos, I. & Kocsis, B · 2004
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The Origin of Inequality: Isolated Formation of a 30+10 M ⊙
Olejak, A. et al · 2004
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Evolution of Binary Black-Hole Spacetimes
Pretorius, F · 2005
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Binary black hole mergers in AGN accretion discs: gravitational wave rate density estimates
Gröbner, M., Ishibashi, W., Tiwari, S., Haney, M. & Jetzer, P · 2005
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Radiation Pressure-supported Starburst Disks and Active Galactic Nucleus Fueling
Thompson, T. A., Quataert, E. & Murray, N · 2005
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Aligning spinning black holes and accretion discs
King, A. R., Lubow, S. H., Ogilvie, G. I. & Pringle, J. E · 2005
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Black Hole Genealogy: Identifying Hierarchical Mergers with Gravitational Waves
Kimball, C. et al · 2005
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Astrophysical Implications of GW190412 as a Remnant of a Previous Black-Hole Merger
Gerosa, D., Vitale, S. & Berti, E · 2005
Earlier work this paper cites.
GW190412 as a Third-generation Black Hole Merger from a Super Star Cluster
Rodriguez, C. L. et al · 2005
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Was GW190412 Born from a Hierarchical 3 + 1 Quadruple Configuration?
Hamers, A. S. & Safarzadeh, M · 2005
Earlier work this paper cites.
Jumping the gap: searching for LIGO’s biggest black holes
María Ezquiaga, J. & Holz, D. E · 2006
Earlier work this paper cites.
Constraints from Gravitational-wave Detections of Binary Black Hole Mergers on the 12
Farmer, R., Renzo, M., de Mink, S. E., Fishbach, M. & Justham, S · 2006
Earlier work this paper cites.
Populating the Upper Black Hole Mass Gap through Stellar Collisions in Young Star Clusters
Kremer, K. et al · 2006
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Spinning-black-hole binaries: The orbital hang-up
Campanelli, M., Lousto, C. O. & Zlochower, Y · 2006
Earlier work this paper cites.
Three-Body Dynamics with Gravitational Wave Emission
Gültekin, K., Miller, M. C. & Hamilton, D. P · 2006
Earlier work this paper cites.
Populating the Black Hole Mass Gaps In Stellar Clusters: General Relations and Upper Limits
Samsing, J. & Hotokezaka, K · 2006
Earlier work this paper cites.
Repeated mergers and ejection of black holes within nuclear star clusters
Fragione, G. & Silk, J · 2006
Cited alongside, same era.
Graham, M. J. et al · 2006
Cited alongside, same era.
You Can’t Always Get What You Want: The Impact of Prior Assumptions on Interpreting GW190412
Zevin, M., Berry, C. P. L., Coughlin, S., Chatziioannou, K. & Vitale, S · 2006
Cited alongside, same era.
Abbott, R. et al · 2006
Cited alongside, same era.
Mass Measurements of Black Holes in X-Ray Transients: Is There a Mass Gap?
Kreidberg, L., Bailyn, C. D., Farr, W. M. & Kalogera, V · 2012
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Relativistic Binaries in Globular Clusters
Benacquista, M. J. & Downing, J. M. B · 2013
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Coevolution (Or Not) of Supermassive Black Holes and Host Galaxies
Kormendy, J. & Ho, L. C · 2013
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Tanikawa, A · 2013
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Astrophysics of Planet Formation (Cambridge University Press, 2013)
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Most, E. R., Papenfort, L. J., Weih, L. R. & Rezzolla, L · 2006
Cited alongside, same era.
Pulsational pair instability as an explanation for the most luminous supernovae
Woosley, S. E., Blinnikov, S. & Heger, A · 2007
Cited alongside, same era.
The impact of stellar rotation on the black hole mass-gap from pair-instability supernovae
Marchant, P. & Moriya, T. J · 2007
Cited alongside, same era.
A fixed point for black hole distributions
Gálvez Ghersi, J. T. & Stein, L. C · 2007
Cited alongside, same era.
New Spin on LIGO-Virgo Binary Black Holes
Biscoveanu, S., Isi, M., Vitale, S. & Varma, V · 2007
Cited alongside, same era.
Maximum Gravitational Recoil
Campanelli, M., Lousto, C. O., Zlochower, Y. & Merritt, D · 2007
Cited alongside, same era.
Supermassive Recoil Velocities for Binary Black-Hole Mergers with Antialigned Spins
González, J. A., Hannam, M., Sperhake, U., Brügmann, B. & Husa, S · 2007
Cited alongside, same era.
The Distribution of Recoil Velocities from Merging Black Holes
Schnittman, J. D. & Buonanno, A · 2007
Cited alongside, same era.
Armitage, P. J · 2013
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Alignment of Supermassive Black Hole Binary Orbits and Spins
Miller, M. C. & Krolik, J. H · 2013
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The Evolution of Compact Binary Star Systems
Postnov, K. A. & Yungelson, L. R · 2014
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Heckman, T. M. & Best, P. N · 2014
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Lupi, A., Colpi, M., Devecchi, B., Galanti, G. & Volonteri, M · 2014
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Intermediate-mass black holes in AGN discs - II. Model predictions and observational constraints
McKernan, B., Ford, K. E. S., Kocsis, B., Lyra, W. & Winter, L. M · 2014
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Aasi, J. et al · 2015
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Advanced Virgo: a second-generation interferometric gravitational wave detector
Acernese, F. et al · 2015
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Giersz, M., Leigh, N., Hypki, A., Lützgendorf, N. & Askar, A · 2015
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Black hole binaries in galactic nuclei and gravitational wave sources
Hong, J. & Lee, H. M · 2015
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Webb, J. J. & Leigh, N. W. C · 2015
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Binary Black Hole Mergers from Globular Clusters: Implications for Advanced LIGO
Rodriguez, C. L. et al · 2015
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Precessional Instability in Binary Black Holes with Aligned Spins
Gerosa, D. et al · 2015
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Massive primordial black holes from hybrid inflation as dark matter and the seeds of galaxies
Clesse, S. & García-Bellido, J · 2015
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Schmidt, P., Ohme, F. & Hannam, M · 2015
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Binary Black Hole Mergers in the First Advanced LIGO Observing Run
Abbott, B. P. et al · 2016
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Mandel, I. & de Mink, S. E · 2016
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A new route towards merging massive black holes
Marchant, P., Langer, N., Podsiadlowski, P., Tauris, T. M. & Moriya, T. J · 2016
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Woosley, S. E · 2016
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The effect of pair-instability mass loss on black-hole mergers
Belczynski, K. et al · 2016
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The Final Spin from Binary Black Holes in Quasi-circular Orbits
Hofmann, F., Barausse, E. & Rezzolla, L · 2016
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precession: Dynamics of spinning black-hole binaries with python
Gerosa, D. & Kesden, M · 2016
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Merging Black Hole Binaries in Galactic Nuclei: Implications for Advanced-LIGO Detections
Antonini, F. & Rasio, F. A · 2016
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Massive black hole binaries from runaway collisions: the impact of metallicity
Mapelli, M · 2016
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Dynamical Formation Signatures of Black Hole Binaries in the First Detected Mergers by LIGO
O’Leary, R. M., Meiron, Y. & Kocsis, B · 2016
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Rodriguez, C. L., Chatterjee, S. & Rasio, F. A · 2016
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Dynamical Formation of the GW150914 Binary Black Hole
Rodriguez, C. L., Haster, C.-J., Chatterjee, S., Kalogera, V. & Rasio, F. A · 2016
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Migration Traps in Disks around Supermassive Black Holes
Bellovary, J. M., Mac Low, M.-M., McKernan, B. & Ford, K. E. S · 2016
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Suppression of the accretion rate in thin discs around binary black holes
Ragusa, E., Lodato, G. & Price, D. J · 2016
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Unstable flip-flopping spinning binary black holes
Lousto, C. O. & Healy, J · 2016
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Bird, S. et al · 2016
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Forming short-period Wolf-Rayet X-ray binaries and double black holes through stable mass transfer
van den Heuvel, E. P. J., Portegies Zwart, S. F. & de Mink, S. E · 2017
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Rapid and Bright Stellar-mass Binary Black Hole Mergers in Active Galactic Nuclei
Bartos, I., Kocsis, B., Haiman, Z. & Márka, S · 2017
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Gravitational Wave Sources in the Era of Multi-Band Gravitational Wave Astronomy
Colpi, M. & Sesana, A · 2017
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Where Are LIGO’s Big Black Holes?
Fishbach, M. & Holz, D. E · 2017
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Are merging black holes born from stellar collapse or previous mergers?
Gerosa, D. & Berti, E · 2017
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Are LIGO’s Black Holes Made from Smaller Black Holes?
Fishbach, M., Holz, D. E. & Farr, B · 2017
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Impact of Bayesian Priors on the Characterization of Binary Black Hole Coalescences
Vitale, S., Gerosa, D., Haster, C.-J., Chatziioannou, K. & Zimmerman, A · 2017
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MOCCA-SURVEY Database - I. Coalescing binary black holes originating from globular clusters
Askar, A., Szkudlarek, M., Gondek-Rosińska, D., Giersz, M. & Bulik, T · 2017
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Black hole binaries dynamically formed in globular clusters
Park, D., Kim, C., Lee, H. M., Bae, Y.-B. & Belczynski, K · 2017
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Assisted inspirals of stellar mass black holes embedded in AGN discs: solving the ‘final au problem’
Stone, N. C., Metzger, B. D. & Haiman, Z · 2017
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Minidisks in Binary Black Hole Accretion
Ryan, G. & MacFadyen, A · 2017
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Multi-messenger Observations of a Binary Neutron Star Merger
Abbott, B. P. et al · 2017
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Merging stellar-mass binary black holes
Mandel, I. & Farmer, A · 2018
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Astrophysics of stellar black holes
Mapelli, M · 2018
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Assessing the energetics of spinning binary black hole systems
Ossokine, S., Dietrich, T., Foley, E., Katebi, R. & Lovelace, G · 2018
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The spin of the second-born black hole in coalescing binary black holes
Qin, Y. et al · 2018
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Spin orientations of merging black holes formed from the evolution of stellar binaries
Gerosa, D. et al · 2018
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The expected spins of gravitational wave sources with isolated field binary progenitors
Zaldarriaga, M., Kushnir, D. & Kollmeier, J. A · 2018
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Black-hole kicks from numerical-relativity surrogate models
Gerosa, D., Hébert, F. & Stein, L. C · 2018
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Redshift Evolution of the Black Hole Merger Rate from Globular Clusters
Rodriguez, C. L. & Loeb, A · 2018
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Black Hole Mergers from an Evolving Population of Globular Clusters
Fragione, G. & Kocsis, B · 2018
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Gondán, L., Kocsis, B., Raffai, P. & Frei, Z · 2018
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Eccentric black hole mergers forming in globular clusters
Samsing, J · 2018
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Gravitational Waves and Intermediate-mass Black Hole Retention in Globular Clusters
Fragione, G., Ginsburg, I. & Kocsis, B · 2018
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Limits on runaway growth of intermediate mass black holes from advanced LIGO
Kovetz, E. D., Cholis, I., Kamionkowski, M. & Silk, J · 2018
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Rodriguez, C. L., Amaro-Seoane, P., Chatterjee, S. & Rasio, F. A · 2018
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Morawski, J., Giersz, M., Askar, A. & Belczynski, K · 2018
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On the rate of black hole binary mergers in galactic nuclei due to dynamical hardening
Leigh, N. W. C. et al · 2018
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Constraining Stellar-mass Black Hole Mergers in AGN Disks Detectable with LIGO
McKernan, B. et al · 2018
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Bianchi, E., Gupta, A., Haggard, H. M. & Sathyaprakash, B. S · 2018
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Evolution of the Black Hole Mass Function in Star Clusters from Multiple Mergers
Christian, P., Mocz, P. & Loeb, A · 2018
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Taylor, S. R. & Gerosa, D · 2018
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Abbott, B. P. et al · 2019
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Nitz, A. H. et al · 2019
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Abbott, B. P. et al · 2019
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High-Accuracy Mass, Spin, and Recoil Predictions of Generic Black-Hole Merger Remnants
Varma, V., Gerosa, D., Stein, L. C., Hébert, F. & Zhang, H · 2019
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Eccentric Black Hole Mergers in Dense Star Clusters: The Role of Binary-Binary Encounters
Zevin, M., Samsing, J., Rodriguez, C., Haster, C.-J. & Ramirez-Ruiz, E · 2019
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Antonini, F., Gieles, M. & Gualandris, A · 2019
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Orbital Migration of Interacting Stellar Mass Black Holes in Disks around Supermassive Black Holes
Secunda, A. et al · 2019
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Thrane, E. & Talbot, C · 2019
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Abbott, B. P. et al · 2019
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Belczynski, K. et al · 2020
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The Pair-instability Mass Gap for Black Holes
Woosley, S. E. & Heger, A · 2021
Closest in time.
Costa, G. et al · 2021
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Black Hole Leftovers: The Remnant Population from Binary Black Hole Mergers
Doctor, Z., Farr, B. & Holz, D. E · 2021
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Anomalies in the gravitational recoil of eccentric black-hole mergers with unequal mass ratios
Radia, M., Sperhake, U., Berti, E. & Croft, R · 2021
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Mapelli, M. et al · 2021
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Hamers, A. S., Fragione, G., Neunteufel, P. & Kocsis, B · 2021
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De Luca, V., Franciolini, G., Pani, P. & Riotto, A · 2021
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Palmese, A., Fishbach, M., Burke, C. J., Annis, J. & Liu, X · 2021
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GW190521 formation scenarios via relativistic accretion
Cruz-Osorio, A., Lora-Clavijo, F. D. & Herdeiro, C · 2021
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Gerosa, D., Giacobbo, N. & Vecchio, A · 2021
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Signatures of Hierarchical Mergers in Black Hole Spin and Mass distribution
Tagawa, H., Haiman, Z., Bartos, I., Kocsis, B. & Omukai, K · 2021
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When Are LIGO/Virgo’s Big Black Hole Mergers?
Fishbach, M. et al · 2021
Closest in time.
Find the Gap: Black Hole Population Analysis with an Astrophysically Motivated Mass Function
Baxter, E. J., Croon, D., McDermott, S. D. & Sakstein, J · 2021
Closest in time.