The DOI matches its Crossref record; 45 of the 45 references it cites were found in a registry or an index.
Computations of primordial black-hole formation
Open accessAbstract
Results are presented from general relativistic numerical computations of primordial black-hole formation during the radiation-dominated era of the universe. Growing-mode perturbations are specified within the linear regime and their subsequent evolution is followed as they become nonlinear. We use a spherically symmetric Lagrangian code and study both super-critical perturbations, which go on to produce black holes, and sub-critical perturbations, for which the overdensity eventually disperses into the background medium. For super-critical perturbations, we confirm the results of previous work concerning scaling laws but note that the threshold amplitude for a perturbation to lead to black-hole formation is substantially reduced when the initial conditions are taken to represent purely growing modes. For sub-critical cases, where an initial collapse is followed by a subsequent re-expansion, strong compressions and rarefactions are seen for perturbation amplitudes near to the threshold. We have also investigated the effect of including a significant component of vacuum energy and have calculated the resulting changes in the threshold and in the slope of the scaling law.
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Cites
Cosmological Inflation and Large-Scale Structure
Liddle, A. R., & Lyth, D. H. (2000) · doi:10.1017/cbo9781139175180 · Cited by 2,317
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
Gravitationally 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
Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse
Misner, C. W., & Sharp, D. H. (1964) · Physical Review · doi:10.1103/physrev.136.b571 · Cited by 1,700
The primordial black hole mass spectrum
Carr, B. J. (1975) · The Astrophysical Journal · doi:10.1086/153853 · Cited by 1,460
Universality and scaling in gravitational collapse of a massless scalar field
Choptuik, M. W. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.9 · Cited by 1,439
Structure formation in the universe
Padmanabhan, Τ. (1993) · CERN Document Server (European Organization for Nuclear Research) · Cited by 814
Cosmological Inflation and Large-Scale Structure
Daly, R. A. (2001) · Physics Today · doi:10.1063/1.1397398 · Cited by 630
Mavromatos, N. E., & Eleftherios Papantonopoulos, A. (2002) · Cited by 394
Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes
Niemeyer, J. C., & Jedamzik, K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.5481 · Cited by 393
Research works printed but not linked: 10
- Zel'dovich Ya B, 1966, Astron. Zh., 43, 758
- Zel'dovich Ya B, 1967, Sov. Astron., 10, 602
- 10.1051/0004-6361:20021298 · doi:10.1051/0004-6361:20021298
- Rahvar S, 2003, Int. J. Mod. Phys., 12, 45, 10.1142/S0218271803002676 · doi:10.1142/s0218271803002676
- Nadezhin D K, 1978, Astron. Zh., 55, 216
- Nadezhin D K, 1978, Sov. Astron., 22, 129
- Pondurets M A, 1964, Astron. Zh., 41, 1090
- Pondurets M A, 1965, Sov. Astron., 8, 868
- Gundlach C, 1999, Living Rev. Rel.
- Miller J C, 1989, Class. Quantum Grav., 6, 185, 10.1088/0264-9381/6/2/012 · doi:10.1088/0264-9381/6/2/012
Cited by
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
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
Primordial 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
Primordial black holes as a dark matter candidate
Green, A. M., & Kavanagh, B. J. (2021) · Journal of Physics G: Nuclear and Particle Physics · doi:10.1088/1361-6471/abc534 · Cited by 674
Primordial black holes from single field models of inflation
García-Bellido, J., & Ruiz Morales, E. (2017) · Physics of the Dark Universe · doi:10.1016/j.dark.2017.09.007 · Cited by 526
Metadata
- Authors
- Musco, I., Miller, J. C., & Rezzolla, L.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2005-03-18
- Volume
- 22
- Issue
- 7
- Pages
- 1405-1424
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2016770316
- Cited by
- 332
- References
- 45
- FWCI
- 3.71
- Type
- journal article
- Language
- en
- Open access
- green
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