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We construct a theoretical model to predict the number of orphan afterglows (OA) from gamma-ray bursts (GRBs) triggered by primordial metal-free (Pop III) stars expected to be observed by the Gaia mission. In particular, we consider primordial metal- free stars that were affected by radiation from other stars (Pop III.2) as a possible target. We use a semi-analytical approach that includes all relevant feedback effects to construct cosmic star formation history and its connection with the cumulative number of GRBs. The OA events are generated using the Monte Carlo method, and realistic simulations of Gaias scanning law are performed to derive the observation probability expectation. We show that Gaia can observe up to 2.28 $pm$ 0.88 off-axis afterglows and 2.78 $pm$ 1.41 on-axis during the five-year nominal mission. This implies that a nonnegligible percentage of afterglows that may be observed by Gaia ($sim 10%$) could have Pop III stars as progenitors.
Cosmic acceleration is investigated through a kink-like expression for the deceleration parameter (q). The new parametrization depends on the initial (q_i) and final (q_f) values of q, on the redshift of the transition from deceleration to accelerati on (z_{t}) and the width of such transition (tau). We show that although supernovae (SN) observations (Gold182 and SNLS data samples) indicate, at high confidence, that a transition occurred in the past (z_{t}>0) they do not, by themselves, impose strong constraints on the maximum value of z_{t}. However, when we combine SN with the measurements of the ratio between the comoving distance to the last scattering surface and the SDSS+2dfGRS BAO distance scale (S_{k}/D_{v}) we obtain, at 95.4% confidence level, z_{t}=0.84+{0.17}-{0.13} and tau =0.51-{0.17}+{0.23} for (S_{k}/D_{v}+Gold182), and z_{t}=0.88-{0.10}+{0.12} and tau =0.35-{0.10}+{0.12} for (S_{k}/D_{v} + SNLS), assuming q_i=0.5 and q_f=-1. We also analyze the general case, q_fin(-infty,0) finding the constraints that the combined tests (S_{k}/D_{v} + SNLS) impose on the present value of the deceleration parameter (q_0).
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