The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Cosmic confusion: degeneracies among cosmological parameters derived from measurements of microwave background anisotropies
Open accessAbstract
In the near future, observations of the cosmic microwave background (CMB) anisotropies will provide accurate determinations of many fundamental cosmological parameters. In this paper, we analyse degeneracies among cosmological parameters to illustrate some of the limitations inherent in CMB parameter estimation. For simplicity, throughout our analysis we assume a cold dark matter universe with power-law adiabatic scalar and tensor fluctuation spectra. We show that most of the variance in cosmological parameter estimates is contributed by a small number (two or three) principal components. An exact likelihood analysis shows that the usual Fisher matrix approach can significantly overestimate the errors on cosmological parameters. We show that small correlated errors in estimates of the CMB power spectrum at levels well below the cosmic variance limits, (caused, for example, by Galactic foregrounds or scanning errors) can lead to significant biases in cosmological parameters. Estimates of cosmological parameters can be improved very significantly by applying theoretical restrictions to the tensor component and external constraints derived from more conventional astronomical observations such as measurements of he Hubble constant, Type 1a supernovae distances and observations of galaxy clustering and peculiar velocities.
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Citations
Cites
Cosmological consequences of a rolling homogeneous scalar field
Ratra, B., & Peebles, P. J. E. (1988) · Physical Review D · doi:10.1103/physrevd.37.3406 · Cited by 4,310 · cited 1×
“…the energy density that obeys an equation of state with fixed pressure to density ratio, wQ = p/ρ, as might arise with scalar fields which are important at late times in the universe, e.g., Ratra and Peebles 1988 and Caldwell, Dave and Steinhardt 1998 (who have dubbed such phenomena quintessence).”
Background
Cited by
Spergel, D. N., Verde, L., Peiris, H. V., Komatsu, E., Nolta, M. R., Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377226 · Cited by 10,976
THE CASE FOR A POSITIVE COSMOLOGICAL Λ-TERM
SAHNI, V., & STAROBINSKY, A. (2000) · International Journal of Modern Physics D · doi:10.1142/s0218271800000542 · Cited by 2,767
Beutler, F., Blake, C., Colless, M., Jones, D. H., Staveley-Smith, L., Campbell, L., Parker, Q., Saunders, W., & Watson, F. (2011) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2011.19250.x · Cited by 2,590
“Measurements of other cosmological parameters often show degeneracies in the CMB data alone (Efstathiou & Bond 1999), especially in models with extra parameters beyond flat ΛCDM.”
BackgroundPlanck 2018 results: X. Constraints on inflation
Planck Collaboration, Akrami, Y., Arroja, F., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., et al. (2020) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201833887 · Cited by 2,442
Self-citationPlanck evidence for a closed Universe and a possible crisis for cosmology
Di Valentino, E., Melchiorri, A., & Silk, J. (2019) · Nature Astronomy · doi:10.1038/s41550-019-0906-9 · Cited by 673
Large Scale Structure in Bekenstein’s Theory of Relativistic Modified Newtonian Dynamics
Skordis, C., Mota, D. F., Ferreira, P. G., & Bœhm, C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.011301 · Cited by 295
Is the low cosmic microwave background quadrupole a signature of spatial curvature?
Efstathiou, G. (2003) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2003.06940.x · Cited by 210
Self-citationThe galaxy power spectrum take on spatial curvature and cosmic concordance
Vagnozzi, S., Di Valentino, E., Gariazzo, S., Melchiorri, A., Mena, O., & Silk, J. (2021) · Physics of the Dark Universe · doi:10.1016/j.dark.2021.100851 · Cited by 138
Abbott, T. M. C., Aguena, M., Alarcon, A., Alves, O., Amon, A., Andrade-Oliveira, F., Annis, J., Avila, S., Bacon, D., Baxter, E., et al. (2023) · Physical Review D · doi:10.1103/physrevd.107.083504 · Cited by 131
Constraints on ΛCDM extensions from the SPT-3G 2018 EE and TE power spectra
Balkenhol, L., Dutcher, D., Ade, P. A. R., Ahmed, Z., Anderes, E., Anderson, A. J., Archipley, M., Avva, J. S., Aylor, K., Barry, P. S., et al. (2021) · Physical Review D · doi:10.1103/physrevd.104.083509 · Cited by 84
Metadata
- Authors
- Efstathiou, G., & Bond, J. R.
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 1999-03-16
- Volume
- 304
- Issue
- 1
- Pages
- 75-97
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W2102587329
- Cited by
- 401
- References
- 1
- FWCI
- 16.27
- Type
- journal article
- Language
- en
- Open access
- green
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