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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

In this paper, we calibrate the Amati relation (the $E_{\rm p}$-${E}_{\rm iso}$ correlation) of gamma-ray bursts (GRBs) in a cosmology-independent way. By using Gaussian process to reconstruct the smoothed luminosity distance from the…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-16 Nan Liang , Zihao Li , Xiaoyao Xie , Puxun Wu

An important concern in the application of gamma-ray bursts (GRBs) to cosmology is that the calibration of GRB luminosity/energy relations depends on the cosmological model, due to the lack of a sufficient low-redshift GRB sample. In this…

Astrophysics · Physics 2009-11-13 Nan Liang , Wei Ke Xiao , Yuan Liu , Shuang Nan Zhang

The $\Lambda$ Cold Dark Matter ($\Lambda$CDM) cosmological model has been highly successful in predicting cosmic structure and evolution, yet recent precision measurements have highlighted discrepancies, especially in the Hubble constant…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-08 Purba Mukherjee , Maria Giovanna Dainotti , Konstantinos F. Dialektopoulos , Jackson Levi Said , Jurgen Mifsud

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

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

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

Gamma-ray bursts (GRBs) offer a powerful probe of the cosmic expansion history far beyond the redshift range accessible to Type Ia supernovae. However, the study of cosmological models using GRBs is hindered by the circularity problem,…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-11 Nilanjana Bagchi Aurpa , Abha Dev Habib , Nisha Rani

In this paper, we firstly calibrate the Amati relation (the $E_{\rm p}-E_{\rm iso}$ correlation) of gamma ray bursts (GRBs) at low redshifts ($z<0.8$) via Gaussian process by using the type Ia supernovae samples from Pantheon+ under the…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-12 Yuhao Mu , Baorong Chang , Lixin Xu

Thanks to their enormous energy release which allows to detect them up to very high redshift, Gamma Rays Bursts (GRBs) have recently attracted a lot of interest to probe the Hubble diagram (HD) deep into the matter dominated era and hence…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 V. F. Cardone , M. Perillo , S. Capozziello

We present a sample of 74 Gamma-Ray Bursts (GRBs) from the Fermi-GBM catalogue for which we compute the distance moduli and use them to constrain effective dark energy models. To overcome the circularity problem affecting GRBs as distance…

High Energy Astrophysical Phenomena · Physics 2021-01-01 Ariadna Montiel , J. I. Cabrera , Juan Carlos Hidalgo

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

Context. Gamma-ray bursts (GRBs) reach redshifts beyond Type Ia supernovae (SNe Ia) and can extend distance measurements into the early Universe, but their use as distance indicators is limited by the circularity problem in calibrating…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-19 Wei Hong , Luca Izzo , Massimo Della Valle , Orlando Luongo , Marco Muccino , Tong-Jie Zhang

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

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

The current knowledge in cosmology deals with open problems whose solutions are still under investigation. The main issue is the so-called Hubble constant ($H_0$) tension, namely, the $4-6 \sigma$ discrepancy between the local value of…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-23 Maria Giovanna Dainotti , Biagio De Simone , Aditya Narendra , Agnieszka Pollo

Gamma-ray bursts (GRBs), as a possible probe to extend the Hubble diagram to high redshifts, have attracted much attention recently. In this paper, we select two samples of GRBs that have a plateau phase in X-ray afterglow. One is short…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-11 J. P. Hu , F. Y. Wang , Z. G. Dai

We here propose a new model-independent technique to overcome the circularity problem affecting the use of Gamma-Ray Bursts (GRBs) as distance indicators through the use of $E_{\rm p}$--$E_{\rm iso}$ correlation. We calibrate the $E_{\rm…

High Energy Astrophysical Phenomena · Physics 2019-05-27 Lorenzo Amati , Rocco D'Agostino , Orlando Luongo , Marco Muccino , Maria Tantalo

Cosmological models and their parameters are widely debated, especially about whether the current discrepancy between the values of the Hubble constant, $H_{0}$, obtained by type Ia supernovae (SNe Ia), and the Planck data from the Cosmic…

In this paper, we continue to build support for the proposal to use gamma-ray bursts (GRBs) as standard candles in constructing the Hubble Diagram at redshifts beyond the current reach of Type Ia supernova observations. We confirm that…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Jun-Jie Wei , Xue-Feng Wu , Fulvio Melia
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