The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
The Hubble Diagram to Redshift >6 from 69 Gamma‐Ray Bursts
Open accessAbstract
One of the few ways to measure the properties of dark energy is to extend the Hubble diagram (HD) to higher redshifts with gamma-ray bursts (GRBs). GRBs have at least five properties (their spectral lag, variability, spectral peak photon energy, time of the jet break, and the minimum rise time) that have correlations to the luminosity of varying quality. In this paper I construct a GRB HD with 69 GRBs over a redshift range from 0.17 to >6, with half the bursts having a redshift larger than 1.7. This paper uses over 3.6 times as many GRBs and 12.7 times as many luminosity indicators as any previous GRB HD work. For the gravitational lensing and Malmquist biases, I find that the biases are small, with an average of 0.03 mag and an rms scatter of 0.14 mag in the distance modulus. The GRB HD is well behaved and nicely delineates the shape of the HD. The reduced χ 2 for the fit to the concordance model is 1.05, and the rms scatter about the concordance model is 0.65 mag. This accuracy is just a factor of 2.0 times that gotten for the same measure from all the big supernova surveys. I fit the GRB HD to a variety of models, including where the dark energy has its equation of state parameter varying as w ( z ) = w 0 + w a z /(1 + z ). I find that the concordance model is consistent with the data, that is, the dark energy can be described well as a cosmological constant that does not change with time.
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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
Self-citationSpergel, 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
Riess, A. G., Strolger, L., Tonry, J., Casertano, S., Ferguson, H. C., Mobasher, B., Challis, P., Filippenko, A. V., Jha, S., Li, W., et al. (2004) · The Astrophysical Journal · doi:10.1086/383612 · Cited by 4,315 · cited 10×
“Later massive campaigns involving ground-based (Astier et al. 2006; Wood-Vasey et al. 2007) and Hubble Space Telescope (HST ) observations (Riess et al. 2004) have confirmed the earlier results.”
BackgroundMethodResultInfluentialExploring the Expansion History of the Universe
Linder, E. V. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.091301 · Cited by 2,526
The absolute magnitudes of Type IA supernovae
Phillips, M. M. (1993) · The Astrophysical Journal · doi:10.1086/186970 · Cited by 2,111
Cited by
The physics of gamma-ray bursts & relativistic jets
Kumar, P., & Zhang, B. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.09.008 · Cited by 952
Kann, D. A., Klose, S., Zhang, B., Malesani, D., Nakar, E., Pozanenko, A., Wilson, A. C., Butler, N. R., Jakobsson, P., Schulze, S., et al. (2010) · The Astrophysical Journal · doi:10.1088/0004-637x/720/2/1513 · Cited by 363
Di Valentino, E., Said, J. L., Riess, A., Pollo, A., Poulin, V., Gómez-Valent, A., Weltman, A., Palmese, A., Huang, C. D., Bruck, C. V. D., et al. (2025) · Physics of the Dark Universe · doi:10.1016/j.dark.2025.101965 · Cited by 319
A buyer’s guide to the Hubble constant
Shah, P., Lemos, P., & Lahav, O. (2021) · The Astronomy and Astrophysics Review · doi:10.1007/s00159-021-00137-4 · Cited by 196
Metadata
- Authors
- Schaefer, B. E.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2007-05
- Volume
- 660
- Issue
- 1
- Pages
- 16-46
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2077626269
- Cited by
- 371
- References
- 6
- FWCI
- 19.33
- Type
- journal article
- Language
- en
- Open access
- bronze
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