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Related papers: Generalized Tests for Eight GRB Luminosity Relatio…

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As so far, the redshift of Gamma-ray bursts (GRBs) can extend to $z\sim 8$ which makes it as a complementary probe of dark energy to supernova Ia (SN Ia). However, the calibration of GRBs is still a big challenge when they are used to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Lixin Xu

In this work, we use angular diameter distances of 38 galaxy clusters with joint X-ray/SZE observation to circumvent the circularity problem in the Amati relation for Gamma-ray Bursts (GRBs). Assuming the validity of cosmic-distance duality…

High Energy Astrophysical Phenomena · Physics 2022-10-24 Gowri Govindaraj , Shantanu Desai

Gamma-Ray Bursts (GRBs) are the brightest sources in the universe, emit mostly in the hard X-ray energy band and have been detected at redshifts up to ~8.1. Thus, they are in principle very powerful probes for cosmology. I shortly review…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-11 L. Amati

In this paper we consider the use of Gamma Ray Bursts (GRBs) as distance markers to study the unification of dark energy and dark matter in the context of the so-called Generalized Chaplygin Gas (GCG) model. We consider that the GRB…

Astrophysics · Physics 2009-11-13 O. Bertolami , P. T. Silva

The degree to which gamma ray bursts are collimated is now the dominant uncertainty in their energy requirements and event rates. In this review I begin with the reasons for studying GRB collimation, then discuss existing tests for…

Astrophysics · Physics 2017-08-23 James E. Rhoads

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

We consider two empirical relations using data only from the prompt emission of Gamma-Ray Bursts (GRBs), peak energy ($E_p$) - peak luminosity ($L_p$) relation (so called Yonetoku relation) and $E_p$-isotropic energy ($E_{\rm iso}$)…

We show that the time variability of a gamma-ray burst (GRB) appears to be correlated with the absolute luminosity of the burst: smooth bursts are intrinsically less luminous. This Cepheid-like relationship can be used to determine the…

Astrophysics · Physics 2007-05-23 E. E. Fenimore , E. Ramirez-Ruiz

Gamma-ray bursts (GRBs) are spectacularly energetic events, with the potential to inform on the early universe and its evolution, once their redshifts are known. Unfortunately, determining redshifts is a painstaking procedure requiring…

Long gamma-ray bursts (GRBs) offer significant insights into cosmology due to their high energy emissions and the potential to probe the early universe. The Amati relation, which links the intrinsic peak energy to the isotropic energy, is…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-06 Darshan Singh , Meghendra Singh , Dinkar Verma , Kanhaiya Lal Pandey , Shashikant Gupta

The variability of gamma-ray burst (GRB) is thought to be correlated with its absolute peak luminosity, and this relation had been used to derive an estimate of the redshifts of GRBs. Recently Amati et al. presented the results of spectral…

Astrophysics · Physics 2009-11-07 D. M. Wei , W. H. Gao

The lag-luminosity relation for gamma-ray bursts (GRBs) is an anti-correlation between the time lag, tau_lag, which represents the delay between the arrival of hard and soft photons, and the isotropic peak luminosity, L. In this paper, we…

High Energy Astrophysical Phenomena · Physics 2012-03-30 Walid J. Azzam

We present a multi-variable regression analysis to several observable quantities for a sample of 15 gamma-ray bursts (GRBs). The observables used in the analysis includes the isotropic gamma-ray energy (E_{gamma,iso}), the peak energy of…

Astrophysics · Physics 2008-11-26 Enwei Liang , Bing Zhang

Because of the limit in the number of gamma-ray bursts (GRBs) with available redshifts and spectra, all current investigations on the correlation among GRB variables use burst samples with redshifts that span a very large range. The…

Astrophysics · Physics 2009-06-23 Li-Xin Li

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

The correlations involving the long-GRB prompt emission energy represent a new key to understand the GRB physics. These correlations have been proved to be the tool which makes long-GRBs a new class of standard candles. Gamma Ray Bursts,…

Astrophysics · Physics 2009-11-13 G. Ghirlanda

We test the correlation found by Reichart et al. (2001) between time variability and peak luminosity of Gamma-Ray Bursts (GRBs). Recently Guidorzi et al. (2005) found that this still holds for a sample of 32 GRBs with spectroscopic…

Astrophysics · Physics 2007-08-29 Cristiano Guidorzi

Gamma-ray bursts (GRBs) are promising cosmological probes for exploring the Universe at intermediate redshifts ($z$). We analyze 151 Fermi-observed long GRBs (datasets A123 and A28) to simultaneously constrain the Amati correlation and…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-02 Shulei Cao , Bharat Ratra

Gamma-ray bursts are the most energetic explosions in the Universe. They are detectable up to very high redshifts, therefore can be used to study the expansion rate of the Universe and to investigate the observational properties of dark…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 Marek Demianski , Ester Piedipalumbo , Disha Sawant , Lorenzo Amati

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