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We use model-independent luminosity distances of 186 HII galaxy observations to address the circularity problem in the Amati relation for Gamma-ray Bursts (GRBs). For this purpose, we used Artificial Neural Network based interpolation to…

High Energy Astrophysical Phenomena · Physics 2025-11-11 Rikiya Okazaki , Shantanu Desai

Luminosity correlations of long Gamma-ray bursts (GRB) are extensively proposed as an effective complementarity to trace the Hubble diagram of Universe at high redshifts, which is of great importance to explore properties of dark energy.…

High Energy Astrophysical Phenomena · Physics 2017-02-22 Guo-Jian Wang , Hai Yu , Zheng-Xiang Li , Jun-Qing Xia , Zong-Hong Zhu

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

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

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) have long been proposed as a complementary probe to type Ia supernovae (SNe Ia) and cosmic microwave background to explore the expansion history of the high-redshift universe, mainly because they are bright enough to…

High Energy Astrophysical Phenomena · Physics 2021-11-11 Yan Dai , Xiao-Gang Zheng , Zheng-Xiang Li , He Gao , Zong-Hong Zhu

Long duration Gamma-Ray Bursts (LGRBs) may serve as standard candles to constrain cosmological parameters by probing the Hubble diagram well beyond the range of redshift currently accessible using type-Ia supernovae. The standardization of…

High Energy Astrophysical Phenomena · Physics 2019-12-30 F. Fana Dirirsa , S. Razzaque , F. Piron , M. Arimoto , M. Axelsson , D. Kocevski , F. Longo , M. Ohno , S. Zhu

Gamma-ray bursts (GRBs) are widely proposed as an effective probe to trace the Hubble diagram of the Universe in high redshift range. However, the calibration of GRBs is not as easy as that of type-Ia supernovae (SNe Ia). Most calibrating…

High Energy Astrophysical Phenomena · Physics 2015-08-21 Hai-Nan Lin , Xin Li , Sai Wang , Zhe Chang

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

The determination of distances is highly constrained to a small number of Gamma-Ray Bursts (GRBs) because it requires observations at different wavelengths. Some empirical functions to estimate redshifts have been identified using…

High Energy Astrophysical Phenomena · Physics 2019-09-04 J. Rodrigo Sacahui , M. Antonio Morales , M. Magdalena González

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

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

Accurate knowledge of gamma-ray burst (GRB) redshifts is essential for studying their intrinsic properties and exploring their potential application in cosmology. Currently, only a small fraction of GRBs have independent redshift…

High Energy Astrophysical Phenomena · Physics 2025-02-20 Emre S. Yorgancioglu , Yun-Fei Du , Shu-Xu Yi , Rahim Moradi , Hua Feng , Shuang-Nan Zhang

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

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 present some applications about the use of the so-called Cosmography with GRBs. In particular, we try to calibrate the Amati relation by using the luminosity distance obtained from the cosmographic analysis. Thus, we analyze…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-16 Luca Izzo , Orlando Luongo , Salvatore Capozziello

Gamma Ray Bursts (GRB) are among the brightest objects in the Universe and hence can be observed up to a very high redshift. Properly calibrated empirical correlations between intensity and spectral correlations of GRBs can be used to…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-22 Meghendra Singh , Darshan Singh , Kanhaiya Lal Pandey , Dinkar Verma , Shashikant Gupta

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

We use measurements of the peak photon energy and bolometric fluence of 119 gamma-ray bursts (GRBs) extending over the redshift range of $0.3399 \leq z \leq 8.2$ to simultaneously determine cosmological and Amati relation parameters in six…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-21 Narayan Khadka , Bharat Ratra

In this work, our focus is on exploring the potential of current GRB measurements to provide reliable constraints on cosmological model parameters at high redshift. This work is divided into two parts. First, we calibrate the Amati relation…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-10 Darshan Kumar , Nisha Rani , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee
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