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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

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

Gamma ray burst (GRBs) can be used to constrain cosmological parameters from medium up to very high redshift. These powerful systems could be the further reliable distance indicators after SNeIa supernovae. We consider GRBs samples to…

High Energy Astrophysical Phenomena · Physics 2012-07-02 S. Capozziello , L. Consiglio , M. De Laurentis , G. De Rosa , C. Perna , D. Vivolo

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 can potentially be used as distance indicators, providing the possibility of extending the Hubble diagram to redshifts ~7. Here we follow the analysis of Schaefer (2007), with the aim of distinguishing the timescape…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-01 Peter R. Smale

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

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

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

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

In this paper, we obtain two improved Amati correlations of the Gamma-Ray burst (GRB) data via a powerful statistical tool called copula. After calibrating, with the low-redshift GRB data, the improved Amati correlations based on a fiducial…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-01 Yang Liu , Fuyong Chen , Nan Liang , Zunli Yuan , Hongwei Yu , Puxun Wu

Relations connecting gamma ray burst quantities can be used to constrain cosmographic parameters of the Hubble law at medium-high redshifts. We consider a sample of 27 gamma ray bursts to construct the luminosity distance to redshift…

Astrophysics · Physics 2010-01-09 S. Capozziello , L. Izzo

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

The correlation between the peak photon energy of the internal spectrum Ep,i and isotropic equivalent radiated energy Eiso (the Amati relation) is explored in a scalar field model of dark energy. Using an updated data set of 109 high…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Marek Demianski , Ester Piedipalumbo

In this paper, we calibrate the luminosity relation of gamma-ray bursts (GRBs) from an Artificial Neural Network (ANN) framework for reconstructing the Hubble parameter \unboldmath{$H(z)$} from the latest observational Hubble data (OHD)…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-04 Zhen Huang , Zhiguo Xiong , Xin Luo , Guangzhen Wang , Yu Liu , Nan Liang

A new method to constrain the cosmological equation of state is proposed by using combined samples of gamma-ray bursts (GRBs) and supernovae (SNeIa). The Chevallier-Polarski-Linder parameterization is adopted for the equation of state in…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-05 S. Capozziello , L. Izzo

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 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

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

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

Gamma-ray bursts (GRBs) being the most luminous among known cosmic objects carry an essential potential for cosmological studies if properly used as standard candles. In this paper we test with GRBs the cosmological predictions of the…