Constraints on Cardassian universe from Gamma ray bursts

Wang, TaiShan; Liang, Nan

doi:10.1007/s11433-010-4100-4

Cited by 11 publications

(10 citation statements)

References 61 publications

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“…The hope of proving this conclusion should be pinned on analyses of future A61, page 4 of 5 observational data such as high redshift SNe Ia data from SNAP (Albrecht et al 2006), more precise CMB data from the ESA Planck satellite (Balbi 2007), and complementary data, such as the X-ray gas mass fraction in clusters (Allen et al 2004(Allen et al , 2008Ettori et al 2009), gravitational lensing data (Zhu 1998;Sereno 2002), as well as gamma-ray bursts (GRBs) at high redshift (Schaefer 2007;Basilakos & Perivolaropoulos 2008;Wang & Liang 2010;Gao et al 2010;Liang et al 2011).…”

Section: Discussionmentioning

confidence: 99%

Observational constraints on interacting dark matter model without dark energy

Cao

Zhu

Liang

2011

A&A

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Aims. The interacting dark matter (IDM) scenario allows for the acceleration of the Universe without dark energy. Methods. We constrain the IDM model by using the newly revised observational data including H(z) data and Union2 SNe Ia via the Markov chain Monte Carlo method. Results. When mimicking the ΛCDM model, we obtain a more stringent upper limit to the effective annihilation term at κC 1 ≈ 10 −3.4 Gyr −1 , and a tighter lower limit to the relevant mass of dark matter particles at M x ≈ 10 −8.6 Gev. When mimicking the wCDM model, we find that the effective equation of state of IDM is consistent with the concordance ΛCDM model and appears to be most consistent with the effective phantom model with a constant EoS for which w < −1.

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Section: Discussionmentioning

confidence: 99%

Observational constraints on interacting dark matter model without dark energy

Cao

Zhu

Liang

2011

A&A

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“…and for the referring values Ω m0 = 0.271 and n = 0.035 [51], Eq. ( 22) reads q 0 = −0.555, j 0 = 0.890, s 0 = −0.384, c 0 = 3.660.…”

Section: Cosmographic Selection Of Viable Cosmological Modelsmentioning

confidence: 99%

Cosmography beyond standard candles and rulers

et al. 2012

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We perform a cosmographic analysis using several cosmological observables such as the luminosity distance moduli, the volume distance, the angular diameter distance and the Hubble parameter. These quantities are determined using different data sets: Supernovae type Ia and Gamma Ray Bursts, the Baryonic Acoustic Oscillations, the cosmic microwave background power spectrum and the Hubble parameter as measured from surveys of galaxies. This data set allows to put constraints on the cosmographic expansion with unprecedented precision. We also present forecasts for the coefficients of the kinematic expansion using future but realistic data sets: constraints on the coefficients of the expansions are likely to improve by a factor ten with the upcoming large scale structure probes. Finally, we derive the set of the cosmographic parameters for several cosmological models (including ΛCDM) and compare them with our best fit set. While distance measurements are unable to discriminate among these models, we show that the inclusion of the Hubble data set leads to strong constraints on the lowest order coefficients and in particular it is incompatible with ΛCDM at 3-σ confidence level. We discuss the reliability of this determination and suggest further observations which might be of crucial importance for the viability of cosmographic tests in the next future.PACS numbers: 95.30.Sf, 97.60.Bw, 98.70.Rz

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“…Similar to the interpolation method, the luminosity distance of GRBs could be obtained by other mathematical approach, such as the empirical formula fitting (Kodama et al 2008), the non-parametric reconstruction method , the local regression (Cardone et al 2009), and the cosmographic fitting Capozziello & Izzo 2010). Following the GRB calibration method directly from SNe Ia, the derived cosmology-independent GRB data at high redshift can be used to constrain cosmological models by using the standard Hubble diagram method Capozziello & Izzo 2008;, Izzo & Capozziello 2009Wei & Zhang 2009, Wei 2009Wang et al 2009aWang et al , 2009bQi et al 2009;Wang & Liang 2010;Liang et al 2010;Wei 2010, Freitasa et al 2010. Capozziello & Izzo (2008) first used the GRB relations calibrated with the so-called Liang method to derive the cosmography parameters at high redshift.…”

Section: Introductionmentioning

confidence: 99%

Latest cosmological constraints on Cardassian expansion models including the updated gamma-ray bursts

Liang

Zhu

2011

Res. Astron. Astrophys.

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In this paper, we constrain the Cardassian expansion models from the latest observations including the updated Gamma-ray bursts (GRBs), which calibrated cosmology-independently from the Union2 compilation of type Ia supernovae (SNe Ia). By combining the GRB data to the joint observations with the Union2 SNe Ia set, along with the Cosmic Microwave Background radiation observation from the seven-year Wilkinson Microwave Anisotropy Probe result, the baryonic acoustic oscillation observation from the spectroscopic Sloan Digital Sky Survey Data Release galaxy sample, we find significant constraints on model parameters of the original Cardassian model Ω M0 = 0.282 +0.015 −0.014 , n = 0.03 +0.05 −0.05 ; and n = −0.16 +0.25 −3.26 , β = 0.76 +0.34 −0.58 of the modified polytropic Cardassian model, which are consistent with the ΛCDM model in 1-σ confidence region. From the reconstruction of the deceleration parameter q(z) in Cardassian models, we obtain the transition redshift z T = 0.73 ± 0.04 for the original Cardassian model, and z T = 0.68 ± 0.04 for the modified polytropic Cardassian model.

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Constraints on Cardassian universe from Gamma ray bursts

Cited by 11 publications

References 61 publications

Observational constraints on interacting dark matter model without dark energy

Observational constraints on interacting dark matter model without dark energy

Cosmography beyond standard candles and rulers

Latest cosmological constraints on Cardassian expansion models including the updated gamma-ray bursts

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