The DOI matches its Crossref record; 64 of the 64 references it cites were found in a registry or an index.
Primordial black hole constraints for extended mass functions
Open accessAbstract
We revisit the cosmological and astrophysical constraints on the fraction of the dark matter in primordial black holes (PBHs) with an extended mass function. We consider a variety of mass functions, all of which are described by three parameters: a characteristic mass and width and a dark matter fraction. Various observations then impose constraints on the dark matter fraction as a function of the first two parameters. We show how these constraints relate to those for a monochromatic mass function, demonstrating that they usually become more stringent in the extended case than the monochromatic one. Considering only the well-established bounds, and neglecting the ones that depend on additional astrophysical assumptions, we find that there are three mass windows, around $5\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}16}{M}_{\ensuremath{\bigodot}}$, $2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}14}{M}_{\ensuremath{\bigodot}}$ and $25--100{M}_{\ensuremath{\bigodot}}$, where PBHs can constitute all the dark matter. However, if one includes all the bounds, PBHs can only constitute of order 10% of the dark matter.
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Observation of Gravitational Waves from a Binary Black Hole Merger
Abbott, B. P., Abbott, R., Abbott, T. D., Abernathy, M. R., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.061102 · Cited by 14,151
HAWKING, S. W. (1974) · Nature · doi:10.1038/248030a0 · Cited by 5,669
Particle dark matter: evidence, candidates and constraints
Bertone, G., Hooper, D., & Silk, J. (2005) · Physics Reports · doi:10.1016/j.physrep.2004.08.031 · Cited by 4,979
Jungman, G., Kamionkowski, M., & Griest, K. (1996) · Physics Reports · doi:10.1016/0370-1573(95)00058-5 · Cited by 4,172
GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
Abbott, B. P., Abbott, R., Abbott, T. D., Abernathy, M. R., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.241103 · Cited by 3,435
Black Holes in the Early Universe
Carr, B. J., & Hawking, S. W. (1974) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/168.2.399 · Cited by 1,827
Self-citationGravitationally Collapsed Objects of Very Low Mass
Hawking, S. (1971) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/152.1.75 · Cited by 1,744
The primordial black hole mass spectrum
Carr, B. J. (1975) · The Astrophysical Journal · doi:10.1086/153853 · Cited by 1,460
Self-citationBird, S., Cholis, I., Muñoz, J. B., Ali-Haïmoud, Y., Kamionkowski, M., Kovetz, E. D., Raccanelli, A., & Riess, A. G. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.201301 · Cited by 1,226
New cosmological constraints on primordial black holes
Carr, B. J., Kohri, K., Sendouda, Y., & Yokoyama, J. (2010) · Physical Review D · doi:10.1103/physrevd.81.104019 · Cited by 1,166
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Constraints on primordial black holes
Carr, B., Kohri, K., Sendouda, Y., & Yokoyama, J. (2021) · Reports on Progress in Physics · doi:10.1088/1361-6633/ac1e31 · Cited by 1,156
Self-citationPrimordial black holes—perspectives in gravitational wave astronomy
Sasaki, M., Suyama, T., Tanaka, T., & Yokoyama, S. (2018) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aaa7b4 · Cited by 894
Microlensing constraints on primordial black holes with Subaru/HSC Andromeda observations
Niikura, H., Takada, M., Yasuda, N., Lupton, R. H., Sumi, T., More, S., Kurita, T., Sugiyama, S., More, A., Oguri, M., et al. (2019) · Nature Astronomy · doi:10.1038/s41550-019-0723-1 · Cited by 570
On primordial black holes from an inflection point
Germani, C., & Prokopec, T. (2017) · Physics of the Dark Universe · doi:10.1016/j.dark.2017.09.001 · Cited by 363
Formation and evolution of primordial black hole binaries in the early universe
Raidal, M., Spethmann, C., Vaskonen, V., & Veermäe, H. (2019) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2019/02/018 · Cited by 322
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Metadata
- Authors
- Carr, B., Raidal, M., Tenkanen, T., Vaskonen, V., & Veermäe, H.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2017-07-14
- Volume
- 96
- Issue
- 2
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W2615092473
- Cited by
- 452
- References
- 64
- FWCI
- 27.92
- Type
- journal article
- Language
- en
- Open access
- green
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