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We exploit the 14 gamma-ray bursts (GRBs) with known redshifts z and the 7 GRBs for which there are constraints on z to determine the GRB rate R_{GRB}(z), using a method based on Bayesian inference. We find that, despite the qualitative…

Astrophysics · Physics 2009-11-07 Nevin Weinberg , Carlo Graziani , Donald Q. Lamb , Daniel E. Reichart

Only a small fraction of Gamma-ray bursts (GRBs) have independent redshift measurements, which are essential for understanding their intrinsic properties. For this reason, empirical correlations of GRBs have often been touted as useful…

High Energy Astrophysical Phenomena · Physics 2025-07-23 Emre S. Yorgancioglu , Yun-Fei Du , Shu-Xu Yi , Shuang-Nan Zhang

Deriving the expansion history of the Universe is a major goal of modern cosmology. To date, the most accurate measurements have been obtained with Type Ia Supernovae and Baryon Acoustic Oscillations, providing evidence for the existence of…

The energy emission involved in a Gamma-Ray Burst evidently can be estimated only provided that we know the distance to the source. The same is true for the peak energy of the event in the source rest frame. Redshifts have been actually…

Astrophysics · Physics 2009-11-10 G. Pizzichini , P. Ferrero , M. Genghini , F. Gianotti , M. Topinka

We exploit the 14 gamma-ray bursts (GRBs) with known redshifts $z$ and the 7 GRBs for which there are constraints on $z$ to determine the GRB rate $R_{\rm GRB}(z)$, using a method based on Bayesian inference. We find that, despite the…

Astrophysics · Physics 2009-11-07 Nevin Weinberg , Carlo Graziani , Donald Q. Lamb

We use the recent CMB power spectrum measurement by the Maxima experiment (Hanany et al. 2000) to constrain the redshift of reionization z_re. This becomes possible by combining the CMB data with cosmological parameters from various…

Astrophysics · Physics 2007-05-23 Jens Schmalzing , Jesper Sommer-Larsen , Martin Goetz

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

For gamma-ray bursts (GRBs) with a plateau phase in the X-ray afterglow, a so called $L-T-E$ correlation has been found which tightly connects the isotropic energy of the prompt GRB ($E_{\gamma,\rm{iso}}$) with the end time of the X-ray…

High Energy Astrophysical Phenomena · Physics 2021-10-26 Fan Xu , Chen-Han Tang , Jin-Jun Geng , Fa-Yin Wang , Yu-Yang Wang , Abudushataer Kuerban , Yong-Feng Huang

Model-independent bounds on the Hubble constant $H_0$ are important to shed light on cosmological tensions. We work out a model-independent analysis based on the sum rule, which is applied to late- and early-time data catalogs to determine…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-17 Orlando Luongo , Marco Muccino

Using a sample of 2408 time-resolved spectra for 91 BATSE gamma-ray bursts (GRBs) presented by Preece et al., we show that the relation between the isotropic-equivalent luminosity (L_iso) and the spectral peak energy (E_p) in the…

Astrophysics · Physics 2009-11-10 E. W. Liang , Z. G. Dai , X. F. Wu

We combine recent long Gamma Ray Bursts (GRBs) sample including 52 objects out to z$=$6.3 compiled from Swift Gamma Ray Bursts by Schaefer (2006) with Type Ia Supernova (SNIa), Cosmic Microwave Background (CMB) and Baryon Oscillation (BAO)…

Astrophysics · Physics 2007-05-23 Meng Su , Hong Li , Zuhui Fan , Bo Liu

We propose a strategy to infer the transition redshift $z_{da}$, which characterizes the passage through the universe decelerated to accelerated phases, in the framework $f(R)$ gravities. To this end, we numerically reconstruct $f(z)$, i.e.…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-11 Salvatore Capozziello , Orlando Luongo

We use the Canadian Hydrogen Intensity Mapping Experiment (CHIME) Fast Radio Burst (FRB) Project to search for FRBs that are temporally and spatially coincident with gamma-ray bursts (GRBs) occurring between 2018 July 7 and 2023 August 3.…

Fast Radio Bursts (FRBs) have emerged as a powerful tool for cosmological studies, particularly through the dispersion measure-redshift ($\mathrm{DM}-z$) relation. This work proposes a novel calibration method for FRBs using the…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-07 Ran Gao , He Gao , Zhengxiang Li , Yuan-Pei Yang

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

We are constructing a program to estimate the redshifts for GRBs from the original Swift light curves and spectra, aiming to get redshifts for the Swift bursts \textit{without} spectroscopic or photometric redshifts. We derive the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Limin Xiao , Bradley E. Schaefer

We present the relation between the ($z-$ and $k-$corrected) spectral lags, $\tau$, for the standard Swift energy bands 50-100 keV and 100-200 keV and the peak isotropic luminosity, $L_{\mathrm{iso}}$ (a relation reported first by Norris et…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Joseph Sultana , Demosthenes Kazanas , Keigo Fukumura

We show how the redshift and peak-flux distributions of gamma-ray bursts (GRBs) have an observation time dependence that can be used to discriminate between different burst populations. We demonstrate how observation time relations can be…

High Energy Astrophysical Phenomena · Physics 2013-02-20 E. J. Howell , D. M. Coward

It is generally supposed that a transition from the normal decay phase (decay slope $\sim -1$) to a steeper phase (decay slope $\sim -2$) could be suggested as a jet break. The jet opening angle $\theta_{\rm jet}$ is then calculated from…

High Energy Astrophysical Phenomena · Physics 2020-09-09 Wen Zhao , Jia-Chang Zhang , Qing-Xiang Zhang , Jian-Tong Liang , Xiao-Hang Luan , Qi-Qi Zhou , Shuang-Xi Yi , Fei-Fei Wang , Shao-Tong Zhang

A new method to constrain the cosmological equation of state is proposed by using combined samples of gamma-ray bursts (GRBs) and supernovae (SNeIa). The Chevallier-Polarski-Linder parameterization is adopted for the equation of state in…

Cosmology and Nongalactic Astrophysics · Physics 2009-06-29 L. Izzo , S. Capozziello , G. Covone , M. Capaccioli