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In this note, we consider the observational constraints on some cosmological models by using the 307 Union type Ia supernovae (SNIa), the 32 calibrated Gamma-Ray Bursts (GRBs) at $z>1.4$, the updated shift parameter $R$ from WMAP 5-year…

Astrophysics · Physics 2009-03-23 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 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

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

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

Recently, Gamma-Ray Bursts (GRBs) were proposed to be a complementary cosmological probe to type Ia supernovae (SNIa). GRBs have been advocated to be standard candles since several empirical GRB luminosity relations were proposed as…

Astrophysics · Physics 2009-08-31 Hao Wei , Shuang Nan 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

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

In this paper, we compile a \emph{Fermi} sample of the \emph{long} GRB observations from 15 years of GBM catalogue with identified redshift, in which the GOLD sample contains 123 long GRBs at $z\le5.6$ and the FULL sample contains 151 long…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-04 Huifeng Wang , Nan Liang

In this paper, we calibrate the luminosity relation of gamma-ray bursts (GRBs) with the machine learning (ML) algorithms from the Pantheon+ sample of type Ia supernovae in a cosmology-independent way. By using K-Nearest Neighbors (KNN) and…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-25 Bin Zhang , Huifeng Wang , Xiaodong Nong , Guangzhen Wang , Puxun Wu , Nan Liang

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

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

In previous papers, a cosmological model with constant-rate particle creation and vacuum term decaying linearly with the Hubble parameter was shown to lead to a good concordance when tested against precise observations: the position of the…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-09 Hermano Velten , Ariadna Montiel , Saulo Carneiro

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

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

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

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 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

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

Tight constraints on cosmological parameters can be obtained with standard candles spanning a range of redshifts as large as possible. We propose to treat SN Ia and long Gamma-Ray Bursts (GRBs) as a single class of candles. Taking advantage…

Astrophysics · Physics 2007-05-23 C. Firmani , V. Avila-Reese , G. Ghisellini , G. Ghirlanda
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