Determining Model-independent H0 and Consistency Tests
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We determine the Hubble constant H 0 precisely (2.3% uncertainty) in a manner independent of the cosmological model through Gaussian process regression, using strong lensing and supernova data. Strong gravitational lensing of a variable source can provide a time-delay distance D Δ t and angular diameter distance to the lens D d. These absolute distances can anchor Type Ia supernovae, which give an excellent constraint on the shape of the distance–redshift relation. Updating our previous results to use the H0LiCOW program’s milestone data set consisting of six lenses, four of which have both D Δ t and D d measurements, we obtain for a flat universe and for a non-flat universe. We carry out several consistency checks on the data and find no statistically significant tensions, though a noticeable redshift dependence persists in a particular systematic manner that we investigate. Speculating on the possibility that this trend of derived Hubble constant with lens distance is physical, we show how this can arise through modified gravity light propagation, which would also impact the weak lensing σ 8 tension.
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TDCOSMO results relax assumptions on lens mass density profile, obtain much weaker bounds, and once combined with SLACS shift H0 towards a lower value.
“the latest TDCOSMO results relax the assumptions on the lens mass density profile, obtaining much weaker bounds, and once combined with SLACS, they shift H 0 towards a lower value.”
From Challenges of the Standard Cosmological Model (2022) · cites this paper as [46]
Section 2 discusses H0LiCOW lens distances and lens mass-profile parameters, while Section 3 reports H₀ estimates from those distances. Neither the supplied passages nor searches for TDCOSMO, SLACS, and relaxed mass-profile assumptions address weaker bounds or a lower H₀ after combining with SLACS. Page numbers were not available in our copy. (LLM, conf=0.75)
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Planck 2018 results. VI. Cosmological parametersPreprint
Planck Collaboration, Aghanim, N., Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., et al. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1807.06209 · Cited by 3,364 · see citing works
Scolnic, D. M., Jones, D. O., Rest, A., Pan, Y. C., Chornock, R., Foley, R. J., Huber, M. E., Kessler, R., Narayan, G., Riess, A. G., et al. (2018) · The Astrophysical Journal · doi:10.3847/1538-4357/aab9bb · Cited by 2,700 · see citing works
Riess, A. G., Casertano, S., Yuan, W., Macri, L. M., & Scolnic, D. (2019) · The Astrophysical Journal · doi:10.3847/1538-4357/ab1422 · Cited by 2,201 · see citing works
Refsdal, S. (1964) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/128.4.307 · Cited by 1,067 · see citing works
Cosmological implications of baryon acoustic oscillation measurements
Aubourg, É., Bailey, S., Bautista, J., Beutler, F., Bhardwaj, V., Bizyaev, D., Blanton, M. R., Blomqvist, M., Bolton, A. S., Bovy, J., et al. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.123516 · Cited by 743 · see citing works
Suyu, S. H., Marshall, P. J., Auger, M. W., Hilbert, S., Blandford, R. D., Koopmans, L. V. E., Fassnacht, C. D., & Treu, T. (2010) · The Astrophysical Journal · doi:10.1088/0004-637x/711/1/201 · Cited by 454 · see citing works
Calibration of the Tip of the Red Giant Branch
Freedman, W. L., Madore, B. F., Hoyt, T. J., Jang, I. S., Beaton, R. L., Lee, M. G., Monson, A., Neeley, J., & Rich, J. A. (2020) · The Astrophysical Journal · doi:10.3847/1538-4357/ab7339 · Cited by 442 · see citing works
Treu, T. (2010) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-081309-130924 · Cited by 397 · see citing works
Birrer, S., Treu, T., Rusu, C. E., Bonvin, V., Fassnacht, C. D., Chan, J. H. H., Agnello, A., Shajib, A. J., Chen, G. C.-F., Auger, M. W., et al. (2019) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stz200 · Cited by 365 · see citing works
H0LiCOW – I. H0 Lenses in COSMOGRAIL's Wellspring: program overview
Suyu, S. H., Bonvin, V., Courbin, F., Fassnacht, C. D., Rusu, C. E., Sluse, D., Treu, T., Wong, K. C., Auger, M. W., Ding, X., et al. (2017) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stx483 · Cited by 347 · see citing works
Self-citationAddison, G. E., Watts, D. J., Bennett, C. L., Halpern, M., Hinshaw, G., & Weiland, J. L. (2018) · The Astrophysical Journal · doi:10.3847/1538-4357/aaa1ed · Cited by 265 · see citing works
Treu, T., & Marshall, P. J. (2016) · The Astronomy and Astrophysics Review · doi:10.1007/s00159-016-0096-8 · Cited by 247 · see citing works
Chen, G. C.-F., Fassnacht, C. D., Suyu, S. H., Rusu, C. E., Chan, J. H. H., Wong, K. C., Auger, M. W., Hilbert, S., Bonvin, V., Birrer, S., et al. (2019) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stz2547 · Cited by 243 · see citing works
COSMOLOGY FROM GRAVITATIONAL LENS TIME DELAYS AND PLANCK DATA
Suyu, S. H., Treu, T., Hilbert, S., Sonnenfeld, A., Auger, M. W., Blandford, R. D., Collett, T. E., Courbin, F., Fassnacht, C. D., Koopmans, L. V. E., et al. (2014) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/788/2/l35 · Cited by 235 · see citing works
Shajib, A. J., Birrer, S., Treu, T., Agnello, A., Buckley‐Geer, E., Chan, J. H. H., Christensen, L., Lemon, C., Lin, H., Millon, M., et al. (2020) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staa828 · Cited by 234 · see citing works
Macaulay, E., Nichol, R. C., Bacon, D., Brout, D., Davis, T. M., Zhang, B. R., Bassett, B. A., Scolnic, D. M., Möller, A., D’Andrea, C. B., et al. (2019) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stz978 · Cited by 230 · see citing works
Wong, K. C., Suyu, S. H., Auger, M. W., Bonvin, V., Courbin, F., Fassnacht, C. D., Halkola, A., Rusu, C. E., Sluse, D., Sonnenfeld, A., et al. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw3077 · Cited by 207 · see citing works
Baryon Acoustic Oscillations and the Hubble constant: past, present and future
Cuceu, A., Farr, J., Lemos, P., & Font-Ribera, A. (2019) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2019/10/044 · Cited by 205 · see citing works
The mass-sheet degeneracy and time-delay cosmography: analysis of the strong lens RXJ1131-1231
Birrer, S., Amara, A., & Refregier, A. R. (2016) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2016/08/020 · Cited by 121 · see citing works
Liao, K., Shafieloo, A., Keeley, R. E., & Linder, E. V. (2019) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ab5308 · Cited by 119 · see citing works
Self-citationRusu, C. E., Fassnacht, C. D., Sluse, D., Hilbert, S., Wong, K. C., Huang, K.-H., Suyu, S. H., Collett, T. E., Marshall, P. J., Treu, T., et al. (2017) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stx285 · Cited by 114 · see citing works
Cuesta, A. J., Verde, L., Riess, A. G., & Jiménez, R. (2015) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stv261 · Cited by 113 · see citing works
Model-Independent Determination of H 0 and Ω K 0 from Strong Lensing and Type Ia Supernovae
Collett, T. E., Montanari, F., & Räsänen, S. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.231101 · Cited by 72 · see citing works
Paraficz, D., & Hjorth, J. (2009) · Astronomy and Astrophysics · doi:10.1051/0004-6361/200913307 · Cited by 71 · see citing works
Time-delay cosmography: increased leverage with angular diameter distances
Jee, I., Komatsu, E., Suyu, S. H., & Dragan Huterer, A. (2016) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2016/04/031 · Cited by 70 · see citing works
A measurement of the Hubble constant from angular diameter distances to two gravitational lenses
Jee, I., Suyu, S. H., Komatsu, E., Fassnacht, C. D., Hilbert, S., & Koopmans, L. V. E. (2019) · Science · doi:10.1126/science.aat7371 · Cited by 70 · see citing works
Measuring angular diameter distances of strong gravitational lenses
Jee, I., Komatsu, E., & Suyu, S. H. (2015) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2015/11/033 · Cited by 68 · see citing works
Confronting general relativity with further cosmological data
Daniel, S. F., & Linder, E. V. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.103523 · Cited by 63 · see citing works
Self-citationModel independent inference of the expansion history and implications for the growth of structure
Joudaki, S., Kaplinghat, M., Keeley, R. E., & Kirkby, D. P. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.97.123501 · Cited by 60 · see citing works
Self-citationTaubenberger, S., Suyu, S. H., Komatsu, E., Jee, I., Birrer, S., Bonvin, V., Courbin, F., Rusu, C. E., Shajib, A. J., & Wong, K. C. (2019) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201935980 · Cited by 55 · see citing works
Challenges in connecting modified gravity theory and observations
Linder, E. V. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.95.023518 · Cited by 52 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 7
- Koo, H., Shafieloo, A., Keeley, R. E., & L'Huillier, B. 2020, arXiv:2001.10887 · arXiv
- Millon, M., Galan, A., Courbin, F., et al. arXiv:1912.08027 · arXiv
- Pandey, S., Raveri, M., & Jain, B. 2019, arXiv:1912.04325 · arXiv
- Philcox, O. H. E., Ivanov, M. M., Simonović, M., & Zaldarriaga, M. 2020, arXiv:2002.04035 · arXiv
- Rusu, C. E., Wong, K. C., Bonvin, V., et al. 2019, arXiv: 1905.09338 · arXiv
- Weinberg, S. 1972, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (New York: Wiley)
- Wong, K. C., Suyu, S. H., Chen, G. C.-F., et al. 2019, arXiv:1907.04869 · arXiv
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Self-citationHazra, D. K., Antony, A., & Shafieloo, A. (2022) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2022/08/063 · Cited by 40 · see citing works
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Self-citationGong, X., Liu, T., & Wang, J. (2024) · The European Physical Journal C · doi:10.1140/epjc/s10052-024-13259-7 · Cited by 6 · see citing works
Consistency tests for comparing astrophysical models and observations
Stoppa, F., Cator, E., & Nelemans, G. (2023) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stad1938 · Cited by 6 · see citing works
A Hubble Constant Determination Through Quasar Time Delays and Type Ia Supernovae
Colaço, L. R. (2025) · Universe · doi:10.3390/universe11030089 · Cited by 5 · see citing works
Li, X., Keeley, R. E., & Shafieloo, A. (2025) · The Astrophysical Journal · doi:10.3847/1538-4357/adc2fe · Cited by 5 · see citing works
Self-citationA joint analysis of strong lensing and type Ia supernovae to determine the Hubble constant
Colaço, L. R., Holanda, R. F. L., Santana, Z. C., & Silva, R. (2025) · The European Physical Journal C · doi:10.1140/epjc/s10052-025-14315-6 · Cited by 3 · see citing works
Geng, S., Grespan, M., Thuruthipilly, H., Harikumar, S. H., Pollo, A., & Biesiada, M. (2025) · Astronomy and Astrophysics · doi:10.1051/0004-6361/202451894 · Cited by 3 · see citing works
Model-independent test of the cosmic anisotropy with inverse distance ladder
Yang, Z.-F., Yao, D.-W., Delliou, M. L., & Wang, K. (2025) · The European Physical Journal C · doi:10.1140/epjc/s10052-025-13994-5 · Cited by 3 · see citing works
Leon-Anaya, L. M., Cuevas-Tello, J. C., Valenzuela, O., Puente, C., & Soubervielle‐Montalvo, C. (2023) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stad817 · Cited by 3 · see citing works
Revisiting the Hubble Constant, Sound Horizon, and Cosmography from Late-time Universe Observations
Yang, Z., Liu, T., & Li, X. (2025) · The Astrophysical Journal · doi:10.3847/1538-4357/adb7e5 · Cited by 3 · see citing works
A Review on Resolving the Hubble Tension via Late-Universe Physics
Jia, X.-D., Dai, X.-Y., Yang, Y., & Wang, F. Y. (2026) · Galaxies · doi:10.3390/galaxies14030055 · Cited by 2 · see citing works
Huang, J., Liu, T., & Shao, C.-G. (2026) · The European Physical Journal C · doi:10.1140/epjc/s10052-026-16300-z · Cited by 2 · see citing works
Detection of unresolved strongly lensed supernovae with the 7-Dimensional Telescope
Khalouei, E., Shafieloo, A., Kim, A., Keeley, R. E., Sheu, W., Paek, G. S. H., Im, M., Huang, X., & Lee, H. M. (2025) · Astronomy and Astrophysics · doi:10.1051/0004-6361/202553880 · Cited by 1 · see citing works
Self-citationThe Hubble Constant Tension in Cosmology
杨, 术. (2022) · Astronomy and Astrophysics · doi:10.12677/aas.2022.103003 · Cited by 1 · see citing works
Pan, Y., Diao, J., Qi, J.-Z., Li, J., Cao, S., & Jiang, Q.-Q. (2023) · Astronomy and Astrophysics · doi:10.1051/0004-6361/202245798 · Cited by 1 · see citing works
Toward a gravitational theory based on mass-induced accelerated space expansion
Frade, J. M. (2022) · Physics Essays · doi:10.4006/0836-1398-35.3.258 · Cited by 1 · see citing works
SDSS-IV MaNGA: a catalogue of spectroscopically detected strong galaxy–galaxy lens candidates
Talbot, M. S., Brownstein, J. R., Neumann, J., Thomas, D., Maraston, C., & Drory, N. (2022) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stac1736
Gao, J., Chen, Y., & Xu, L. (2026) · Physical review. D/Physical review. D. · doi:10.1103/6tx3-prh3
Model-independent constraints on the Hubble constant using lensed quasars and the latest supernova
刘, L. 亮. L., 毕, A.-Y. 爱. B., 唐, L. 丽. T., & 吴, Y. 英. W. (2025) · Chinese Physics C · doi:10.1088/1674-1137/adbc87
Observational evidence to logistic dark energy driving the accelerating universe
Nelleri, S., Krishna, G., V, & Poonthottathil, N. (2025) · Physica Scripta · doi:10.1088/1402-4896/adcf5f
Li, Z., Du, S.-S., Liu, T., & Zhu, Z. (2025) · International Journal of Modern Physics D · doi:10.1142/s0218271825500609
Dainotti, M. G., Banerjeed, A., LeClair, A., & Montani, G. (2026) · The Astrophysical Journal · doi:10.3847/1538-4357/ae9c32
- Authors
- Liao, K., Shafieloo, A., Keeley, R. E., & Linder, E. V.
- Affiliations
- Wuhan University of Technology (CN)
- Korea Astronomy and Space Science Institute (KR)
- Lawrence Berkeley National Laboratory (US)
- Corresponding author
- Shafieloo, Arman
- Venue
- The Astrophysical Journal Letters
- Publisher
- American Astronomical Society
- Published
- 2020-05-27
- Volume
- 895
- Issue
- 2
- Pages
- L29
- ISSN
- 2041-8205 (ISSN-L)
- 2041-8213
- OpenAlex
- W3031490922
- Cited by
- 80
- References
- 30
- Citations by year
- 2026: 4 · 2025: 16 · 2024: 10 · 2023: 6 · 2022: 19 · 2021: 12 · 2020: 13
- FWCI
- 5.57
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- The Astrophysical Journal Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Nazarbayev University Repository (Nazarbayev University) (submittedVersion)
- Nazarbayev University Repository (Nazarbayev University) (submittedVersion, cc-by-nc-sa)
- 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 › Astronomy and Astrophysics › Gamma-ray bursts and supernovae
- Keywords
- Hubble constant, strong gravitational lensing, time-delay distance, angular diameter distance, Type Ia supernovae, distance-redshift relation, H0LiCOW, Gaussian process regression, Hubble tension, modified gravity
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