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Gamma ray bursts (GRBs) have recently attracted much attention as a possible way to extend the Hubble diagram to very high redshift. To this aim, the luminosity (or isotropic emitted energy) of a GRB at redshift z must be evaluated from a…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-11 V. F. Cardone , S. Capozziello , M. G. Dainotti

Gamma-ray bursts (GRBs) are luminous enough to be detectable up to redshift $z\sim 10$. They are often proposed as complementary tools to type-Ia supernovae (SNe Ia) in tracing the Hubble diagram of the Universe. The distance calibrations…

General Relativity and Quantum Cosmology · Physics 2015-11-30 Hai-Nan Lin , Xin Li , Zhe Chang

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

We propose how to calibrate long gamma-ray burst (GRB) correlations employing intermediate redshift data sets, instead of limiting to $z\simeq0$ catalogs. To do so, we examine the most updated observational Hubble data (OHD) and baryonic…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-26 Orlando Luongo , Marco Muccino

We use a cosmology-independent method to calibrate gamma-ray burst (GRB) from the observational Hubble data (OHD) with the cosmic chronometers method. By using Gaussian Process to reconstruct OHD, we calibrate the Amati relation ($E_{\rm…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-03 Zihao Li , Bin Zhang , Nan Liang

We alleviate the circularity problem, whereby gamma-ray bursts are not perfect distance indicators, by means of a new model-independent technique based on B\'ezier polynomials. To do so, we use the well consolidate \textit{Amati} and…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-24 Orlando Luongo , Marco Muccino

For the use of Gamma-Ray Bursts (GRBs) to probe cosmology in a cosmology-independent way, a new method has been proposed to obtain luminosity distances of GRBs by interpolating directly from the Hubble diagram of SNe Ia, and then…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 He Gao , Nan Liang , Zong-Hong Zhu

Gamma-ray bursts (GRBs) are among the most luminous electromagnetic transients in the universe, providing unique insights into extreme astrophysical processes and serving as promising probes for cosmology. Unlike Type Ia supernovae, which…

High Energy Astrophysical Phenomena · Physics 2025-01-28 Chen Deng , Yong-Feng Huang , Fan Xu , Abdusattar Kurban

It has been recently empirically established that some of the directly observed pa- rameters of GRBs are correlated with their important intrinsic parameters, like the luminosity or the total radiated energy. These correlations were…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Marek Demianski , Ester Piedipalumbo , Claudio Rubano

In this paper, we present a cosmology-independent method to constrain cosmological models from the latest 221 gamma-ray bursts (GRBs) sample, including 49 GRBs from Fermi catalog with the Amati relation (the $E_{\rm p}$-${E}_{\rm iso}$…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-14 Hanbei Xie , Xiaodong Nong , Huifeng Wang , Bin Zhang , Zihao Li , Nan Liang

Gamma-ray bursts (GRBs) have been regarded as standard candles at very high redshift for cosmology research. We have proposed a new method to calibrate GRB distance indicators with Type Ia supernova (SNe Ia) data in a completely…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-22 Nan Liang , Puxun Wu , Shuang Nan 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

In order to test the efficacy of Gamma-ray Bursts (GRB) as cosmological probes, we characterize the scatter in the correlations between six pairs of GRB observables, which have previously also been studied in arXiv:2011.14040. However, some…

High Energy Astrophysical Phenomena · Physics 2024-10-28 Sarveshkumar Purohit , Shantanu Desai

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

While the available set of Gamma-ray Burst (GRB) data with known redshift is currently limited, a much larger set of GRB data without redshift is available from different instruments. This data includes well-measured prompt gamma-ray flux…

High Energy Astrophysical Phenomena · Physics 2024-03-25 Tamador Aldowma , Soebur Razzaque

The correlation between the peak spectra energy ($E_p$) and the equivalent isotropic energy ($E_{\rm iso}$) of long gamma-ray bursts (GRBs), the so-called Amati relation, is often used to constrain the high-redshift Hubble diagram. Assuming…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-16 Lu Huang , Zhiqi Huang , Xiaolin Luo , Xinbo He , Yuhong Fang

In the present work, by the help of the newly released Union2 compilation which consists of 557 Type Ia supernovae (SNIa), we calibrate 109 long Gamma-Ray Bursts (GRBs) with the well-known Amati relation, using the cosmology-independent…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Hao Wei

We present a new method aimed to handle long Gamma-Ray Burst (GRBs) as cosmic rulers. The recent discovery of a tight correlation between the collimation corrected GRB energy and the peak of the gamma-ray spectrum has opened the possibility…

Astrophysics · Physics 2009-11-10 C. Firmani , G. Ghisellini , G. Ghirlanda , V. Avila-Reese

Using gamma-ray bursts as standard candles for cosmological parameter constraints rely on their empirical luminosity relations and low-redshift calibration. In this paper, we examine the Amati relation and its potential corrections based on…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-04 Yufen Han , Jiaze Gao , Gang Liu , Lixin Xu

Gamma-ray bursts (GRBs) are among the most powerful sources in the universe. In the recent years, GRBs have been proposed as a complementary probe to type Ia supernovae (SNIa). However, as is well known, there is a circularity problem in…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-10 Jing Liu , Hao Wei