The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
The Dynamics and Light Curves of Beamed Gamma‐Ray Burst Afterglows
Open accessAbstract
The energy requirements of gamma-ray bursts have in past been poorly constrained because of three major uncertainties: the distances to bursts, the degree of burst beaming, and the efficiency of gamma-ray production. The first of these has been resolved, with both indirect evidence (the distribution of bursts in flux and position) and direct evidence (redshifted absorption features in the afterglow spectrum of GRB 970508) pointing to cosmological distances. We now wish to address the second uncertainty. Afterglows allow a statistical test of beaming, described in an earlier paper. In this paper, we modify a standard fireball afterglow model to explore the effects of beaming on burst remnant dynamics and afterglow emission. If the burst ejecta are beamed into angle ζ m , the burst remnant's evolution changes qualitatively once its bulk Lorentz factor Γ ≲ 1/ζ m : before this, Γ declines as a power law of radius, while afterward, it declines exponentially. This change results in a broken power-law light curve whose late-time decay is faster than expected for a purely spherical geometry. These predictions disagree with afterglow observations of GRB 970508. We explored several variations on our model, but none seems to be able to change this result. We therefore suggest that this burst is unlikely to have been highly beamed and that its energy requirements were near those of isotropic models. More recent afterglows may offer the first practical applications for our beamed models.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Radiative processes in astrophysics
(1979) · Astronomy Quarterly · doi:10.1016/0364-9229(79)90019-8 · Cited by 2,916
Spectra and Light Curves of Gamma-Ray Burst Afterglows
Sari, R., Piran, T., & Narayan, R. (1998) · The Astrophysical Journal · doi:10.1086/311269 · Cited by 2,297
Gamma-ray bursters at cosmological distances
Paczynski, B. (1986) · The Astrophysical Journal · doi:10.1086/184740 · Cited by 1,543
Spectra and Light Curves of Gamma-Ray Burst AfterglowsPreprint
Sari, R., Piran, T., & Narayan, R. (1997) · Cited by 1,385
Optical and Long‐Wavelength Afterglow from Gamma‐Ray Bursts
Meszaros, P., & Rees, M. J. (1997) · The Astrophysical Journal · doi:10.1086/303625 · Cited by 1,192
Sari, R., Piran, T., & Halpern, J. P. (1999) · The Astrophysical Journal · doi:10.1086/312109 · Cited by 1,053
Transient optical emission from the error box of the γ-ray burst of 28 February 1997
van Paradijs, J., Groot, P. J., Galama, T., Kouveliotou, C., Strom, R. G., Telting, J., Rutten, R. G. M., Fishman, G. J., Meegan, C. A., Pettini, M., et al. (1997) · Nature · doi:10.1038/386686a0 · Cited by 917
Are gamma-ray bursts optically thick?
Goodman, J. (1986) · The Astrophysical Journal · doi:10.1086/184741 · Cited by 833
Spectral constraints on the redshift of the optical counterpart to the γ-ray burst of 8 May 1997
Metzger, M. R., Djorgovski, S. G., Kulkarni, S. R., Steidel, C. C., Adelberger, K. L., Frail, D. A., Costa, E., & Frontera, F. (1997) · Nature · doi:10.1038/43132 · Cited by 733
etal; (1997) · Journal of Occupational & Environmental Medicine · doi:10.1097/00043764-199707000-00017 · Cited by 483
Cited by
Zhang, B., Fan, Y. Z., Dyks, J., Kobayashi, S., Meszaros, P., Burrows, D. N., Nousek, J. A., & Gehrels, N. (2006) · The Astrophysical Journal · doi:10.1086/500723 · Cited by 1,079
“The jet model (e.g., Rhoads 1999; Sari et al. 1999).”
BackgroundMethodGAMMA-RAY BURSTS: PROGRESS, PROBLEMS & PROSPECTS
ZHANG, B., & MÉSZÁROS, P. (2004) · International Journal of Modern Physics A · doi:10.1142/s0217751x0401746x · Cited by 783
Gamma-Ray Bursts in the Swift Era
Gehrels, N., Ramirez-Ruiz, E., & Fox, D. B. (2009) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev.astro.46.060407.145147 · Cited by 615
JET BREAKS AND ENERGETICS OF Swift GAMMA-RAY BURST X-RAY AFTERGLOWS
Racusin, J. L., Liang, E. W., Burrows, D. N., Falcone, A., Sakamoto, T., Zhang, B. B., Zhang, B., Evans, P., & Osborne, J. (2009) · The Astrophysical Journal · doi:10.1088/0004-637x/698/1/43 · Cited by 310
Swift Observations of GRB 070110: An Extraordinary X‐Ray Afterglow Powered by the Central Engine
Troja, E., Cusumano, G., O’Brien, P. T., Zhang, B., Sbarufatti, B., Mangano, V., Willingale, R., Chincarini, G., Osborne, J. P., Marshall, F. E., et al. (2007) · The Astrophysical Journal · doi:10.1086/519450 · Cited by 305
Metadata
- Authors
- Rhoads, J. E.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1999-11-10
- Volume
- 525
- Issue
- 2
- Pages
- 737-749
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W1992020520
- Cited by
- 787
- References
- 21
- FWCI
- 34.20
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: The Dynamics and Light Curves of Beamed Gamma‐Ray Burst Afterglows. https://app.cochat.ai/papers/10.1086/307907
- The paper
- Rhoads, J. E. (1999). The Dynamics and Light Curves of Beamed Gamma‐Ray Burst Afterglows. The Astrophysical Journal. https://doi.org/10.1086/307907
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.