A New Distance Estimator and Spatial Distribution of GRBS Observed by BATSE

Details A New Distance Estimator and Spatial Distribution of GRBS Observed by BATSE A New Distance Estimator and Spatial Distribution of GRBS Observed by BATSE

2001-08-28

arxiv.org/abs/astro-ph/0108441v2

Astronomy and Astrophysics

Astrophysics

15 pages, 2 eps figures, submitted to Astronomy and Astrophysics (Letters)

Scientific paper

We propose a redshift estimator for the long ($T_{90} > 20$) gamma-ray bursts (GRBs) observed by the BATSE. It is based on an empirical relation between the redshift and the power-law index of power density spectra (PDSs) of the observed GRBs. This relation is constructed by using the fact that the power-law index is dependent upon a characteristic timescale of GRB light curves which are inevitably stretched by cosmological time dilation. We construct the empirical relation using both individual PDSs and averaged PDSs. An error estimates of $z$ are 1.09 and 1.11 for the empirical relation by individual PDS fits, 1.72 and 1.56 by averaged PDS fits, for the least squares fit and the maximum likelihood fit, respectively. We attempt to determine the spatial distribution of the GRBs observed by the BATSE as a function of redshifts on the basis of the resulting redshift estimator. We find that the obtained spatial distribution of the observed GRBs seems consistent with that of the GRBs whose redshifts are reported, even though the estimated errors are not very accurate. The GRBs observed by the BATSE seem distributed within $z \sim 5-6$. This result has implications on theoretical calculations of stellar formations at high redshifts and beaming geometry via a statistical study of the observed GRBs involving beaming-induced luminosity functions. We discuss such implications, and possible uncertainties of the suggested method.

Affiliated with

Also associated with

No associations

Rating

A New Distance Estimator and Spatial Distribution of GRBS Observed by BATSE does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A New Distance Estimator and Spatial Distribution of GRBS Observed by BATSE, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Distance Estimator and Spatial Distribution of GRBS Observed by BATSE will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-101401