A New Frequency-Luminosity Relation for Long GRBs?

Abstract

We have studied power density spectra (PDS) of 206 long Gamma-Ray Bursts (GRBs). We fitted the PDS with a simple power-law and extracted the exponent of the power-law (alpha) and the noise-crossing threshold frequency (f_th). We find that the distribution of the extracted alpha peaks around -1.4 and that of f_th around 1 Hz. In addition, based on a sub-set of 58 bursts with known redshifts, we show that the redshift-corrected threshold frequency is positively correlated with the isotropic peak luminosity. The correlation coefficient is 0.57 +/- 0.03.

9 pages, 17 figures, 1 table; Accepted for publication in MNRAS

References in corpus (5)

• The origin and propagation of variability in the outflows of long duration gamma-ray bursts
• The slope of the GRB Variability/Peak Luminosity Correlation
• Testing the gamma-ray burst variability/peak luminosity correlation on a Swift homogeneous sample
• On the temporal variability classes found in long gamma-ray bursts with known redshift
• Variability in the Prompt Emission of Swift-BAT Gamma-Ray Bursts

Cited by in corpus (5)

• Minimum Variability Time Scales of Long and Short GRBs
• A Comprehensive Power Spectral Density Analysis of Astronomical Time Series. II. The Swift/BAT Long Gamma-Ray Bursts
• Energy-Dependent GRB Pulse Width due to the Curvature Effect and Intrinsic Band Spectrum
• Power density spectrum of nonstationary short-lived light curves
• Average Power-Density Spectrum of short and long Fermi-GBM Gamma-Ray Bursts