Gamma-Ray Burst Light Curves Seen by Fourier Anlysis:. Cosmological Time Dilation and a Use as a New Distance Estimator

Details Gamma-Ray Burst Light Curves Seen by Fourier Anlysis:. Cosmological Time Dilation and a Use as a New Distance Estimator Gamma-Ray Burst Light Curves Seen by Fourier Anlysis:. Cosmological Time Dilation and a Use as a New Distance Estimator

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002chee.conf..274c&link_type=abstract

CURRENT HIGH-ENERGY EMISSION AROUND BLACK HOLES . Proceedings of the 2nd KIAS Astrophysics Workshop. Held 3-8 September 2001 in

Astronomy and Astrophysics

Astrophysics

Scientific paper

We study the power density spectrum (PDS) of light curves of the observed gamma-ray bursts (GRBs) to search for a direct signature for cosmological time dilation in the PDS statistics with the GRBs whose redshifts z are known. We demonstrate that a time dilation effect is seen in GRB light curves. We also propose a redshift estimator for the long GRBs (T90 > 20) observed by the BATSE, based on the empirical relation between the redshift and the power-law index of PDSs of the observed GRBs. 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 marginal. The GRBs observed by BATSE seem distributed within z ~ 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. Even though redshift estimates are subject to the stochastic nature of the observed PDSs and accuracy of estimates are limited by unknown properties of the GRBs, the encouraging conclusion of this study is that redshifts of the GRBs can be obtained with the GRB light curves whose redshifts otherwise remain unknown forever.

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