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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

Several correlations among Gamma-Ray Bursts (GRBs) quantities, both in the prompt and afterglow emissions, have been established during the last decades, thus enabling the standardization of GRBs as cosmological probes. Since GRBs are…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-29 Giada Bargiacchi , Maria Giovanna Dainotti , Salvatore Capozziello

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

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

Thanks to their enormous energy release which allows to detect them up to very high redshift, Gamma Rays Bursts (GRBs) have recently attracted a lot of interest to probe the Hubble diagram (HD) deep into the matter dominated era and hence…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 V. F. Cardone , M. Perillo , S. Capozziello

The current knowledge in cosmology deals with open problems whose solutions are still under investigation. The main issue is the so-called Hubble constant ($H_0$) tension, namely, the $4-6 \sigma$ discrepancy between the local value of…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-23 Maria Giovanna Dainotti , Biagio De Simone , Aditya Narendra , Agnieszka Pollo

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

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

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

We examine the prospects of the high redshift Long Gamma Ray Bursts (LGRB) Hubble Diagram as a test of the basic cosmological principles. Analysis of the Hubble Diagram allows us to test several fundamental cosmological principles using the…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-01 S. I. Shirokov , I. V. Sokolov , N. Yu. Lovyagin , L. Amati , Yu. V. Baryshev , V. V. Sokolov , V. L. Gorokhov

Gamma-ray bursts are the most energetic explosions in the Universe. They are detectable up to very high redshifts, therefore can be used to study the expansion rate of the Universe and to investigate the observational properties of dark…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 Marek Demianski , Ester Piedipalumbo , Disha Sawant , Lorenzo Amati

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

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

In this work, we use angular diameter distances of 38 galaxy clusters with joint X-ray/SZE observation to circumvent the circularity problem in the Amati relation for Gamma-ray Bursts (GRBs). Assuming the validity of cosmic-distance duality…

High Energy Astrophysical Phenomena · Physics 2022-10-24 Gowri Govindaraj , Shantanu Desai

We here propose a new model-independent technique to overcome the circularity problem affecting the use of Gamma-Ray Bursts (GRBs) as distance indicators through the use of $E_{\rm p}$--$E_{\rm iso}$ correlation. We calibrate the $E_{\rm…

High Energy Astrophysical Phenomena · Physics 2019-05-27 Lorenzo Amati , Rocco D'Agostino , Orlando Luongo , Marco Muccino , Maria Tantalo

Gamma-ray bursts (GRBs), as a possible probe to extend the Hubble diagram to high redshifts, have attracted much attention recently. In this paper, we select two samples of GRBs that have a plateau phase in X-ray afterglow. One is short…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-11 J. P. Hu , F. Y. Wang , Z. G. Dai

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 study eight different gamma-ray burst (GRB) data sets to examine whether current GRB measurements -- that probe a largely unexplored part of cosmological redshift ($z$) space -- can be used to reliably constrain cosmological model…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-27 Narayan Khadka , Orlando Luongo , Marco Muccino , Bharat Ratra

Gamma-Ray Bursts (GRBs) offer a potential way to extend the Hubble diagram to very high redshifts and to constrain the nature of dark energy in a way complementary to distant type Ia supernovae. However, gravitational lensing systematically…

Astrophysics · Physics 2009-11-11 Masamune Oguri , Keitaro Takahashi

Gamma-ray bursts (GRBs) are spectacularly energetic events, with the potential to inform on the early universe and its evolution, once their redshifts are known. Unfortunately, determining redshifts is a painstaking procedure requiring…