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In this paper, we use two model-independent methods to standardize long gamma-ray bursts (GRBs) using the $E_{\rm iso}-E_{\rm p}$ correlation, where $E_{\rm iso}$ is the isotropic-equivalent gamma-ray energy and $E_{\rm p}$ is the spectral…

High Energy Astrophysical Phenomena · Physics 2015-12-23 J. S. Wang , F. Y. Wang , K. S. Cheng , Z. G. Dai

Gamma-ray bursts (GRBs) are the most explosive phenomena and can be used to study the expansion of Universe. In this paper, we compile a long GRB sample for the $E_{\mathrm{iso}}$-$E_{\mathrm{p}}$ correlation from Swift and Fermi…

High Energy Astrophysical Phenomena · Physics 2022-09-21 X. D. Jia , J. P. Hu , J. Yang , B. B. Zhang , F. Y. Wang

Gamma-ray bursts (GRBs) detected at high redshift can be used to trace the Hubble diagram of the Universe. However, the distance calibration of GRBs is not as easily as that of type Ia supernovae (SNe Ia). For the calibrating method based…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-23 Li Tang , Xin Li , Hai-Nan Lin , Liang Liu

Gamma-Ray Bursts (GRB) are the most energetic events in the Universe, and provide a complementary probe of dark energy by allowing the measurement of cosmic expansion history that extends to redshifts greater than 6. Unlike Type Ia…

Astrophysics · Physics 2009-01-09 Yun Wang

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

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

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

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) are a potential tool to probe high-redshift universe. However, the circularity problem enforces people to find model-independent methods to study the luminosity correlations of GRBs. Here, we present a new method…

High Energy Astrophysical Phenomena · Physics 2019-03-06 Yu-Yang Wang , F. Y. Wang

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

We calibrate the distance and reconstruct the Hubble diagram of gamma-ray bursts (GRBs) using deep learning. We construct an artificial neural network, which combines the recurrent neural network and Bayesian neural network, and train the…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Li Tang , Hai-Nan Lin , Xin Li , Liang Liu

Several correlations among Gamma Ray Burst (GRB) observables with available redshifts have been recently identified. Proper evaluation and calibration of these correlations may facilitate the use of GRBs as standard candles constraining the…

Astrophysics · Physics 2010-03-19 S. Basilakos , L. Perivolaropoulos

Even though the Dark Energy Spectroscopic Instrument (DESI) mission does not exclude a dynamical dark energy evolution, the concordance paradigm, i.e., the $\Lambda$CDM model, remains statistically favored, as it depends on the fewest…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-08 Anna Chiara Alfano , Orlando Luongo , Marco Muccino

This report is an update and extension of our paper accepted for publication in ApJ (arXiv:0802.4262). Since objects at the same redshift should have the same luminosity distance and the distance moduli of type Ia supernovae (SNe Ia)…

Astrophysics · Physics 2009-11-13 Nan Liang , Shuang Nan Zhang

We use Gamma Ray Bursts (GRBs) data from Y. Wang (2008) to put additional constraints on a set of cosmological dark energy models based on the holographic principle. GRBs are among the most complex and energetic astrophysical events known…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-12 Alexander Bonilla Rivera , Jairo Ernesto Castillo Hernandez

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

The dynamics of the Universe are revised using high-redshift data from gamma-ray bursts to constrain cosmographic parameters by means of model-independent techniques. Considering samples from four gamma-ray burst correlations and two…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-13 Orlando Luongo , Marco Muccino

We update gamma-ray burst (GRB) luminosity relations among certain spectral and light-curve features with 139 GRBs. The distance modulus of 82 GRBs at $z>1.4$ can be calibrated with the sample at $z\leq1.4$ by using the cubic spline…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-23 Jun-Jie Wei , Qing-Bo Ma , Xue-Feng Wu

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

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