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Long Gamma-Ray Burst prompt emission properties as a cosmological tool

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 Publication date 2006
  fields Physics
and research's language is English
 Authors C. Firmani




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Recently, a tight correlation among three quantities that characterize the prompt emission of long Gamma-Ray Bursts (GRBs) with known redshift z, was discovered (Firmani et al. 2006). We use this correlation to construct the Hubble diagram (HD) with a sample of 19 GRBs in the broad range of z=0.17-4.5, and carry out a full statistical analysis to constrain cosmological parameters (CPs). To optimally solve the problem of circularity, a Bayesian approach is applied. The main result is that the concordance LambdaCDM cosmology is fully consistent with the GRB data at the level of several tests. If we assume the Lambda cosmology, then we find Om_M=0.31^{+0.09}_{-0.08} and Om_Lambda=0.80^{+0.20}_{-0.30}$ (1sigma); the flat-geometry case is within 1sigma. Assuming flatness, we find Om_M=0.29^{+0.08}_{-0.06}, and fixing Om_M=0.28, we obtain a dark energy equation of state parameter w=-1.07^{+0.25}_{-0.38}, i.e. the ambdaCDM model (w=-1) is within 1sigma. Given the low number of usable GRBs we cannot yet constrain well the possible evolution of w=w(z). However, the case w(z)=-1 (LambdaCDM) is consistent at the 68.3% CL with GRBs. It is shown also how a broad range of zs in the used sample improves the determination of CPs from the HD, which is the case of GRBs as distance indicators.



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Tail emission of the prompt gamma-ray burst (GRB) is discussed using a multiple emitting sub-shell (inhomogeneous jet, sub-jets or mini-jets) model, where the whole GRB jet consists of many emitting sub-shells. One may expect that such a jet with angular inhomogeneity should produce spiky tail emission. However, we found that the tail is not spiky but is decaying roughly monotonically. The global decay slope of the tail is not so much affected by the local angular inhomogeneity but affected by the global sub-shell energy distribution. The fact that steepening breaks appeared in some events prefers the structured jets. If the angular size of the emitting sub-shell is around 0.01-0.02 rad, some bumps or fluctuations appear in the tail emission observed frequently in long GRBs. If the parameter differences of sub-shell properties are large, the tail has frequent changes of the temporal slope observed in a few bursts. Therefore, the multiple emitting sub-shell model has the advantage of explaining the small-scale structure in the observed rapid decay phase.
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