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[Abridged] Very recently, relations between the peak energy of Gamma-Ray Burst burst spectra, the isotropic-equivalent energy of the burst, and the radiated energy of the burst have been found. In a way that is exactly analogous to the way…

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

We use the BD2 sample of gamma-ray bursts (GRBs) based on 5.9 years of BATSE DISCLA data with a variety of models of the luminosity function to derive characteristic GRB luminosities, space densities and redshift distributions. Previously…

Astrophysics · Physics 2009-10-31 Maarten Schmidt

We report measurements of the mass density, Omega_M, and cosmological-constant energy density, Omega_Lambda, of the universe based on the analysis of 42 Type Ia supernovae discovered by the Supernova Cosmology Project. The…

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

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

The recent $\sim 4 \, \sigma$ Hubble constant, $H_{0}$, tension is observed between the value of $H_{0}$ from the Cosmic Microwave Background (CMB) and Type Ia Supernovae (SNe Ia). It is a decade since this tension is excruciating the…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-29 G. Bargiacchi , M. G. Dainotti , S. Nagataki , S. Capozziello

We present a new method aimed to handle long Gamma-Ray Burst (GRBs) as cosmic rulers. The recent discovery of a tight correlation between the collimation corrected GRB energy and the peak of the gamma-ray spectrum has opened the possibility…

Astrophysics · Physics 2009-11-10 C. Firmani , G. Ghisellini , G. Ghirlanda , V. Avila-Reese

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 2009-06-29 L. Izzo , S. Capozziello , G. Covone , M. Capaccioli

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

In a few dozen seconds gamma ray bursts (GRBs) emit up to 10^54 erg in terms of an equivalent isotropically radiated energy Eiso, so they can be observed up to z ~10. Thus, these phenomena appear to be very promising tools to describe the…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-14 Lorenzo Amati , Massimo Della Valle

The cosmological model is at present not tested between the redshift of the farthest observed supernovae (z ~ 1.4) and that of the Cosmic Microwave Background (z ~ 1,100). Here we introduce a new method to measure the cosmological…

Astrophysics of Galaxies · Physics 2017-12-21 Susanna Bisogni , Guido Risaliti , Elisabeta Lusso

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 review we present a progress report of the connection between long-duration gamma-ray bursts (GRBs) and their accompanying supernovae (SNe). The analysis is from the point of view of an observer, with much of the emphasis placed on…

High Energy Astrophysical Phenomena · Physics 2017-05-03 Zach Cano , Shan-Qin Wang , Zi-Gao Dai , Xue-Feng Wu

The Hubble diagram (HD) is a plot that contains luminous distance modulus presented with respect to the redshift. The distance modulus--redshift relation of the most well-known ``standard candles'', the type Ia supernovae (SN), is a crucial…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-07 Nikita Lovyagin , Rustam Gainutdinov , Stanislav Shirokov , Vladimir Gorokhov

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

As one of the most energetic and brightest events, gamma-ray bursts (GRBs) have been used as a standard candle for cosmological probe. Based on the relevant features of GRBs light curves, a plateau phase followed a decay phase, we obtain…

High Energy Astrophysical Phenomena · Physics 2024-09-18 Jia-Lun Li , Yu-Peng Yang , Shuang-Xi Yi , Jian-Ping Hu , Yan-Kun Qu , Fa-Yin Wang

We predict cosmological constraints for forthcoming surveys using Superluminous Supernovae (SLSNe) as standardisable candles. Due to their high peak luminosity, these events can be observed to high redshift (z~3), opening up new…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-27 Dario Scovacricchi , Robert C. Nichol , David Bacon , Mark Sullivan , Szymon Prajs

Gamma-Ray Bursts (GRBs) are very energetic cosmological transients. Long GRBs are usually associated with Type Ib/c Supernovae (SNe), and we refer to them as GRB-SNe. Since the associated SN for a given GRB is observed only at low redshift,…

High Energy Astrophysical Phenomena · Physics 2022-10-13 M. G. Dainotti , B. De Simone , M. I. Khadir , K. Kawaguchi , T. J. Moriya , T. Takiwaki , N. Tominaga , A. Gangopadhyay

We compare and combine likelihood functions of the cosmological parameters Omega_m, h and sigma_8, from peculiar velocities, CMB and type Ia supernovae. These three data sets directly probe the mass in the Universe, without the need to…

Astrophysics · Physics 2009-10-31 S. L. Bridle , I. Zehavi , A. Dekel , O. Lahav , M. P. Hobson , A. N. Lasenby