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Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions. II. Numerical results
Open accessAbstract
We develop the suggestion that dark matter could be a Bose-Einstein condensate. We determine the mass-radius relation of a Newtonian self-gravitating Bose-Einstein condensate with short-range interactions described by the Gross-Pitaevskii-Poisson system. We numerically solve the equation of hydrostatic equilibrium describing the balance between the gravitational attraction and the pressure due to quantum effects (Heisenberg's uncertainty principle) and short-range interactions (scattering). We connect the noninteracting limit to the Thomas-Fermi limit. We also consider the case of attractive self-interaction. We compare the exact mass-radius relation obtained numerically with the approximate analytical relation obtained with a Gaussian ansatz. An overall good agreement is found.
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Cites
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Riess, A. G., Filippenko, A. V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P. M., Gilliland, R. L., Hogan, C. J., Jha, S., Kirshner, R. P., et al. (1998) · The Astronomical Journal · doi:10.1086/300499 · Cited by 19,704
Measurements of Ω and Λ from 42 High‐Redshift Supernovae
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R. A., Nugent, P., Castro, P. G., Deustua, S., Fabbro, S., Goobar, A., Groom, D. E., et al. (1999) · The Astrophysical Journal · doi:10.1086/307221 · Cited by 18,062
A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
Milgrom, M. (1983) · The Astrophysical Journal · doi:10.1086/161130 · Cited by 3,316
Cited by
Arvanitaki, A., Dimopoulos, S., Galanis, M., Lehner, L., Thompson, J. O., & Van Tilburg, K. (2020) · Physical Review D · doi:10.1103/physrevd.101.083014 · Cited by 175
Eby, J., & Takhistov, V. (2024) · arXiv · doi:10.48550/arxiv.2402.00100 · Cited by 4
Metadata
- Authors
- Chavanis, P.-H., & Delfini, L.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2011-08-29
- Volume
- 84
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W4251813425
- Cited by
- 282
- References
- 3
- FWCI
- 4.72
- Type
- journal article
- Language
- en
- Open access
- green
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