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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

We briefly introduce the disadvantages for Type Ia supernovae (SNe Ia) as standard candles to measure the Universe, and suggest Gamma-ray bursts (GRBs) can serve as a powerful tool for probing the properties of high redshift Universe. We…

High Energy Astrophysical Phenomena · Physics 2017-02-15 Jun-Jie Wei , Xue-Feng Wu

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

We construct the Hubble diagram (HD) of Gamma-Ray Bursts (GRBs) with redshifts reaching up to $z \sim 6$, by using five luminosity vs. luminosity indicator relations calibrated with the Cardassian cosmology. This model has a major…

Astrophysics · Physics 2011-05-24 Herman J. Mosquera Cuesta , Habib Dumet M. , Cristina Furlanetto

The desire to extend the Hubble Diagram to higher redshifts than the range of current Type Ia Supernovae observations has prompted investigation into spectral correlations in Gamma Ray Bursts, in the hope that standard candle-like…

Astrophysics · Physics 2009-11-11 Fiona C. Speirits , Martin A. Hendry , Alejandro Gonzalez

The Hubble constant ($H_0$) tension is one of the major open problems in modern cosmology. This tension is the discrepancy, ranging from 4 to 6 $\sigma$, between the $H_0$ value estimated locally with the combination of Supernovae Ia (SNe…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-26 Maria Dainotti , Biagio De Simone , Giovanni Montani , Tiziano Schiavone , Gaetano Lambiase

We report estimates of the cosmological parameters $\Omega_m$ and $\Omega_{\Lambda}$ obtained using supernovae (SNe) associated with gamma-ray bursts (GRBs) at redshifts up to 0.606. Eight high-fidelity GRB-SNe with well-sampled light…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Xue Li , Jens Hjorth , Radosław Wojtak

Gamma-ray bursts (GRBs) are luminous enough to be detectable up to redshift $z\sim 10$. They are often proposed as complementary tools to type-Ia supernovae (SNe Ia) in tracing the Hubble diagram of the Universe. The distance calibrations…

General Relativity and Quantum Cosmology · Physics 2015-11-30 Hai-Nan Lin , Xin Li , Zhe Chang

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

A new method of measuring cosmology with gamma-ray bursts(GRBs) has been proposed by Liang and Zhang recently. In this method, only observable quantities including the rest frame peak energy of the \nu F_\nu spectrum (E'_p), the isotropic…

Astrophysics · Physics 2009-11-13 F. Y. Wang , Z. G. Dai

Following our previous work, we conclude that a GRB standard candle constructed from the Ghirlanda et al. power-law relation between the geometry-corrected energy (E_gamma) and the peak of the rest-frame prompt burst spectrum (E_p) is not…

Astrophysics · Physics 2010-11-11 Andrew S. Friedman , Joshua S. Bloom

Apparently, Gamma-Ray Bursts (GRBs) are all but standard candles. Their emission is collimated into a cone and the received flux depends on the cone aperture angle. Fortunately we can derive the aperture angle through an achromatic…

Astrophysics · Physics 2010-11-11 G. Ghisellini , G. Ghirlanda , C. Firmani , D. Lazzati , V. Avila-Reese , .

Gamma-ray Bursts (GRBs) are valuable probes of cosmic star formation reaching back into the epoch of reionization, and a large dataset with known redshifts ($z$) is an important ingredient for these studies. Usually, $z$ is measured using…

High Energy Astrophysical Phenomena · Physics 2026-05-13 Dhruv S. Bal , Aditya Narendra , Maria Giovanna Dainotti , Nikita S. Khatiya , Aleksander L. Lenart , Dieter H. Hartmann

Probing the evolution of the universe at high redshifts with standard candles is a powerful way to discriminate dark energy models, where an open question nowadays is whether this component is constant or evolves with time. One possible…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. F. L. Holanda , V. C. Busti

It has been recently empirically established that some of the directly observed pa- rameters of GRBs are correlated with their important intrinsic parameters, like the luminosity or the total radiated energy. These correlations were…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Marek Demianski , Ester Piedipalumbo , Claudio Rubano

Gamma-Ray Bursts (GRBs), observed at high-z, are probes of the evolution of the Universe and can be used as cosmological tools. Thus, we need correlations with small dispersion among key parameters. To reduce such a dispersion, we mitigate…

In this paper, we calibrate the luminosity relation of gamma-ray bursts (GRBs) by Artificial Neural Networks (ANN) which is employed to analyze the Pantheon+ sample of type Ia supernovae (SNe Ia) in a manner independent of cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-25 Zhen Huang , Xin Luo , Bin Zhang , Jianchao Feng , Puxun Wu , Yu Liu , Nan Liang

The recent analysis of low-redshift supernovae (SN) has increased the apparent tension between the value of $H_0$ estimated from low and high redshift observations such as the cosmic microwave background (CMB) radiation. At the same time…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-15 Antonio Enea Romano

We search for dipole variations in the Hubble constant $H_0$ using gamma-ray burst (GRB) data, as such anisotropies may shed light on the Hubble tension. We employ the most recent and reliable GRB catalogs from the $E_{p}-E_{iso}$ and the…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-19 Orlando Luongo , Marco Muccino , Francesco Sorrenti

Gamma-ray bursts (GRBs) are cosmological explosions which carry valuable information from the distant past of the expanding universe. One of the greatest discoveries in modern cosmology is the finding of the accelerated expansion of the…

High Energy Astrophysical Phenomena · Physics 2016-06-15 Rupal Basak , A. R. Rao