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An improved Amati correlation was constructed in (ApJ 931 (2022) 50) by us recently. In this paper, we further study constraints on the $\Lambda$CDM and $w$CDM models from the gamma ray bursts (GRBs) standardized with the standard and…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-17 Yang Liu , Nan Liang , Xiaoyao Xie , Zunli Yuan , Hongwei Yu , Puxun Wu

In this paper, we obtain two improved Amati correlations of the Gamma-Ray burst (GRB) data via a powerful statistical tool called copula. After calibrating, with the low-redshift GRB data, the improved Amati correlations based on a fiducial…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-01 Yang Liu , Fuyong Chen , Nan Liang , Zunli Yuan , Hongwei Yu , Puxun Wu

Discoveries of gamma-ray bursts (GRBs) have become commonplace in recent decades, totalling $\mathcal{O}(10^4)$ unique detections across various missions. However, there have been no confirmed discoveries of a gravitationally-lensed GRB,…

High Energy Astrophysical Phenomena · Physics 2026-04-09 Dan Ryczanowski , Benjamin P. Jones , Benjamin P. Gompertz , Graham P. Smith

Recently, Gamma-Ray Bursts (GRBs) were proposed to be a complementary cosmological probe to type Ia supernovae (SNIa). GRBs have been advocated to be standard candles since several empirical GRB luminosity relations were proposed as…

Astrophysics · Physics 2009-08-31 Hao Wei , Shuang Nan Zhang

Long duration Gamma-Ray Bursts (GRBs) have eight luminosity relations where observable burst properties can yield the burst luminosity and hence distance. This turns GRBs into useful tools of cosmology. Recently, two tests have been…

Astrophysics · Physics 2011-02-11 Bradley E. Schaefer , Andrew C. Collazzi

Gamma-ray bursts (GRBs) are extremely powerful stellar explosions that have been observed to huge distances with redshifts exceeding 9. Although GRBs are not standard candles, one may standardize them by calibrating certain correlations…

High Energy Astrophysical Phenomena · Physics 2026-03-11 Ali M. Hasan , Walid J. Azzam

Gamma-ray bursts (GRBs) are believed to belong to two classes and they are conventionally divided according to their durations. This classification scheme is not satisfied due to the fact that duration distributions of the two classes are…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Yi-Ping Qin , Zhi-Fu Chen

The correlation between distant Gamma-Ray Bursts (GRBs) and foreground galaxy clusters is re-examined by using the well localized (with an accuracy down to a few arcseconds) Swift/XRT GRBs. The galaxy clusters are compiled from both X-ray…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 J. Wang , J. Y. Wei

Gamma-ray bursts (GRBs) are detectable out to very large distances and as such are potentially powerful cosmological probes. Historically, the angular distribution of GRBs provided important information about their origin and physical…

High Energy Astrophysical Phenomena · Physics 2015-11-11 T. N. Ukwatta , P. R. Wozniak

In order to test systematic of the Amati relation, the 24 long-duration GRBs with firmly determined $E_{\gamma,\mathrm{iso}}$ and $E_{\mathrm p}$ are separated into two sub-groups according to B-band luminosity of their host galaxies. The…

Astrophysics · Physics 2009-11-13 Jing Wang , Jing-song Deng , Yu-lei Qiu

The relation connecting the emitted isotropic energy and the rest-frame peak energy of the \nuF\nu spectra of Gamma-Ray Bursts (the Amati relation), strictly depends on the cosmological model, so we need a method to obtain an independent…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Salvatore Capozziello , Luca Izzo

Due to the lack of low redshift long Gamma-Ray Bursts (GRBs), the circular problem has been a severe obstacle for using GRBs as cosmological candles. In this paper, we present a new method to deal with such a problem in MCMC global fitting…

Astrophysics · Physics 2010-11-11 Hong Li , Jun-Qing Xia , Jie Liu , Gong-Bo Zhao , Zu-Hui Fan , Xinmin Zhang

By using gamma-ray burst (GRB) data to simultaneously constrain Amati correlation parameters and cosmological parameters in six spatially-flat and nonflat dark energy cosmological models, we show that an updated 220 GRB version of the Jia…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-28 Shulei Cao , Bharat Ratra

Building on Nakar & Piran's analysis of the Amati relation relating gamma-ray burst peak energies E_p and isotropic energies E_iso, we test the consistency of a large sample of BATSE bursts with the Amati and Ghirlanda (which relates peak…

Astrophysics · Physics 2009-11-10 David L. Band , Robert D. Preece

In Nakar & Piran (2004) we have shown that a large fraction of BATSE bursts cannot satisfy the Amati relation between the isotropic energy - peak energy of GRBs. Our results have been corroborated by a further analysis carried out by Band…

Astrophysics · Physics 2007-05-23 Ehud Nakar , Tsvi Piran

We present a new analysis of cosmic dipole anisotropy using gamma-ray bursts (GRBs) as high-redshift standardizable candles. GRBs are ideal probes for testing the cosmological principle thanks to their high luminosity, wide redshift range,…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-25 Jessica Santiago , Kerkyra Asvesta , Maria Giovanna Dainotti , Pisin Chen

We show that each of the three Dainotti-correlated gamma-ray burst (GRB) data sets recently compiled by Wang et al. and Hu et al., that together probe the redshift range $0.35 \leq z \leq 5.91$, obey cosmological-model-independent Dainotti…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-10 Shulei Cao , Narayan Khadka , Bharat Ratra

Gamma-ray bursts (GRBs) are a potential tool to probe high-redshift universe. However, the circularity problem enforces people to find model-independent methods to study the luminosity correlations of GRBs. Here, we present a new method…

High Energy Astrophysical Phenomena · Physics 2019-03-06 Yu-Yang Wang , F. Y. Wang

We use a sample of \textit{Swift} gamma-ray bursts (GRBs) to analyze the Amati and Yonetoku correlations. The first relation is between $E_{p,i}$, the intrinsic peak energy of the prompt GRB emission, and $E_{iso}$, the equivalent isotropic…

High Energy Astrophysical Phenomena · Physics 2016-11-18 Hannachi Zitouni , Nidhal Guessoum , Walid Jamil Azzam

In this paper, we examine the spacial distribution of gamma-ray bursts (GRBs) using a sample of 373 objects. We subdivide the GRB data into two redshift intervals over the redshift range $0<z< 6.7$. We measure the two-point correlation…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-07 Ming-Hua Li , Hai-Nan Lin