The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models
Open accessAbstract
We implement the efficient line-of-sight method to calculate the anisotropy and polarization of the cosmic microwave background for scalar and tensor modes in almost Friedmann-Robertson-Walker models with positive spatial curvature. We present new results for the polarization power spectra in such models.
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Cites
Gauge-invariant cosmological perturbations
Bardeen, J. M. (1980) · Physical Review D · doi:10.1103/physrevd.22.1882 · Cited by 2,393
Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
Ma, C.-P., & Bertschinger, E. (1995) · The Astrophysical Journal · doi:10.1086/176550 · Cited by 2,040
A Line-of-Sight Integration Approach to Cosmic Microwave Background Anisotropies
Seljak, U., & Zaldarriaga, M. (1996) · The Astrophysical Journal · doi:10.1086/177793 · Cited by 1,941
A line of sight integration approach to cosmic microwave background anisotropiesPreprint
Zaldarriaga, M. (1996) · Cited by 1,277
Signature of Gravity Waves in the Polarization of the Microwave Background
Seljak, U., & Zaldarriaga, M. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2054 · Cited by 982
A Probe of Primordial Gravity Waves and Vorticity
Kamionkowski, M., Kosowsky, A. B., & Stebbins, A. J. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2058 · Cited by 838
Anisotropies in the cosmic microwave background: an analytic approach
Wayne Hu, B., & Sugiyama, N. (1995) · The Astrophysical Journal · doi:10.1086/175624 · Cited by 495
Relativistic radiative transfer: moment formalisms
Thorne, K. S. (1981) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/194.2.439 · Cited by 292
Ellis, G., & van Elst, H. (1999) · Springer eBooks · doi:10.1007/978-94-011-4455-1_1 · Cited by 223
Complete treatment of CMB anisotropies in a FRW universe
Hu, W., Seljak, U., White, M. J., & Zaldarriaga, M. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.3290 · Cited by 175
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Research works printed but not linked: 6
- Challinor, A. D. 1999a, Gen. Relativ. Gravitation, in press (preprint astro-ph/9903283) · arXiv
- Challinor, A. D. 1999b, Classical Quantum Gravity, submitted (preprint astro-ph/9906474) · arXiv
- Challinor, A. D. 1999c, Phys. Rev. D, in press (preprint astro-ph/9911481) · arXiv
- Gebbie, T., Dunsby, P. K. S. & Ellis, G. F. R. 1999, preprint (astro-ph/9904408) · arXiv
- Gebbie, T. & Ellis, G. F. R. 1998, preprint (astro-ph/9804316) · arXiv
- Turner, M. S. 1999, preprint (astro-ph/9904051) · arXiv
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SKA weak lensing – I. Cosmological forecasts and the power of radio-optical cross-correlations
Harrison, I., Camera, S., Zuntz, J., & Brown, M. L. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw2082 · Cited by 69
Empirical constraints on the formation of early-type galaxies
Moster, B. P., Naab, T., & White, S. D. M. (2019) · arXiv · doi:10.48550/arxiv.1910.09552 · Cited by 55
Cosmological constraints on slow roll inflation: An update
Forconi, M., Giarè, W., Di Valentino, E., & Melchiorri, A. (2021) · Physical Review D · doi:10.1103/physrevd.104.103528 · Cited by 48
Linear and non-linear Modified Gravity forecasts with future surveys
Casas, S., Kunz, M., Martinelli, M., & Pettorino, V. (2017) · Physics of the Dark Universe · doi:10.1016/j.dark.2017.09.009 · Cited by 48
Abdalla, E., Abellán, G. F., Aboubrahim, A., Agnello, A., Akarsu, Ö., Akrami, Y., Alestas, G., Aloni, D., Amendola, L., Anchordoqui, L. A., et al. (2022) · Journal of High Energy Astrophysics · doi:10.1016/j.jheap.2022.04.002 · Cited by 37
Hart, L., & Chluba, J. (2022) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stab2777 · Cited by 36
Nakashima, M., Ichikawa, K., Nagata, R., & Yokoyama, J. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/01/030 · Cited by 34
Observing the Multiverse with Cosmic Wakes
Kleban, M., Levi, T. S., & Sigurdson, K. (2011) · arXiv · doi:10.48550/arxiv.1109.3473 · Cited by 28
Hoshiya, K., & Toda, Y. (2023) · Physical Review D · doi:10.1103/physrevd.107.043505 · Cited by 18
Cosmological Perturbations in the 5D Holographic Big Bang Model
Altamirano, N., Gould, E., Afshordi, N., & Mann, R. B. (2017) · arXiv · doi:10.48550/arxiv.1703.00954 · Cited by 9
Optimal analysis of azimuthal features in the CMB
Osborne, S., Senatore, L., & Smith, K. (2013) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2013/10/001 · Cited by 8
Neukart, F. (2025) · Entropy · doi:10.3390/e27020103 · Cited by 4
“Numerical solutions of these equations are obtained using a modified version of the CAMB code [19], which is a widely used tool for calculating CMB power spectra.”
Neukart, F., Marx, E., & Vinokur, V. (2025) · Entropy · doi:10.3390/e27101043 · Cited by 4
A Casimir turning point as the beginning of a small flat universe
Zhang, A. (2026) · arXiv · doi:10.48550/arxiv.2610.24905
“…the same time-reflection symmetry and a single resonance. ficients a Xℓm , X ∈ { T, E } , have the covariance [59] × Y ℓm (ˆ k n ) Y ℓ ′ m ′ (ˆ k n ) (F1) in a real harmonic basis, with transfer functions of un-lensed scalar perturbations from CAMB [168] for the Planck 2018 ΛCDM parameters [169].”
Metadata
- Authors
- Lewis, A., Challinor, A., & Lasenby, A.
- Affiliations
- University of Cambridge (GB)
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2000-08
- Volume
- 538
- Issue
- 2
- Pages
- 473-476
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W1944901286
- Cited by
- 4,920
- References
- 22
- Citations by year
- 2026: 226 · 2025: 298 · 2024: 272 · 2023: 263 · 2022: 265 · 2021: 291 · 2020: 327 · 2019: 278 · 2018: 281 · 2017: 259 · 2016: 325 · 2015: 252 · 2014: 270 · 2013: 250 · 2012: 234
- FWCI
- 17.05
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- The Astrophysical Journal (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
- Keywords
- cosmic microwave background anisotropies, CMB polarization, line-of-sight integration, positive spatial curvature, scalar perturbations, tensor perturbations, cosmological perturbation theory
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