Luminosities and Space Densities of Gamma-Ray Bursts

Abstract

We use a homogeneous sample of gamma-ray bursts (GRB) extracted from 5.9 years of BATSE DISCLA data (astro-ph/9908190) and a variety of broken power-law luminosity functions to derive GRB luminosities and space densities. Luminosity functions that are narrow or exhibit no density evolution produce expected redshift distributions that are incompatible with the observation of a GRB redshift of 3.4. For q_o=0.1 and density evolution rising to 10 at z=1, we find for a variety of slopes of the luminosity function values of the local space density around 0.18 Gpc^{-3} y^{-1} with a range of only 40%. Characteristic 50--300 keV peak luminosities exhibit a range of a factor of 6 around 6e51 erg/s corresponding to a characteristic total luminosity of 1.2e53 erg in the 10--1000 keV band. For q_o=0.5, densities are higher and luminosities lower, both by a factor of 2.5. The local emissivity of GRBs is 1.0e52 erg Gpc^{-3} y^{-1} in the 10--1000 keV band.

9 pages, 3 figures, accepted for publication in Astrophysical Journal Letters

Cited by in corpus (62)

• The Physics of Gamma-Ray Bursts
• The Observed Offset Distribution of Gamma-Ray Bursts from Their Host Galaxies: A Robust Clue to the Nature of the Progenitors
• On astrophysical solution to ultra high energy cosmic rays
• Neutrinos from propagation of ultra-high energy protons
• On the Association of Gamma-ray Bursts with Massive Stars: Implications for Number Counts and Lensing Statistics
• The luminosity function and the rate of Swift's Gamma Ray Bursts
• The prompt energy release of gamma-ray bursts using a cosmological k-correction
• The Cosmic Rate, Luminosity Function and Intrinsic Correlations of Long GRBs
• The Host Galaxy of GRB 031203: Implications of its low metallicity, low redshift, and starburst nature
• The Local Rate and the Progenitor Lifetimes of Short-Hard Gamma-Ray Bursts: Synthesis and Predictions for LIGO
• The Luminosity and Angular Distributions of Long GRBs
• The redshift distribution of SWIFT Gamma-Ray Bursts: evidence for evolution
• Luminosity Function of Gamma-Ray Bursts Derived Without Benefit of Redshifts
• The nature of the Diffuse Gamma-Ray Background
• Gamma-ray Burst Cosmology
• The bright optical afterglow of the nearby gamma-ray burst of 29 March 2003
• On the Redshift Distribution of Gamma Ray Bursts in the Swift Era
• Cosmogenic Neutrinos from Ultra-High Energy Nuclei
• Astrophysical and Astrobiological Implications of Gamma-Ray Burst Properties
• Neutrino, Neutron, and Cosmic Ray Production in the External Shock Model of Gamma Ray Bursts
• Short Gamma-Ray Bursts and Binary Mergers in Spiral and Elliptical Galaxies: Redshift Distribution and Hosts
• Do long-duration GRBs follow star formation?
• High-energy neutrino conversion and the lepton asymmetry in the universe
• A Near-Infrared and X-ray Study of W49B: A Wind Cavity Explosion
• An unexpectedly low-redshift excess of Swift gamma-ray burst rate
• Orphan Afterglows of Collimated Gamma-Ray Bursts: Rate Predictions and Prospects for Detection
• Formation Rate, Evolving Luminosity Function, Jet Structure, and Progenitors for Long Gamma-Ray Bursts
• High energy cosmic-rays from gamma-ray burst sources: A stronger case
• Intrinsic properties of a complete sample of HETE-2 gamma-ray bursts. A measure of the GRB rate in the Local Universe
• Are gamma-ray bursts the sources of ultra-high energy cosmic rays?
• Role of Galactic sources and magnetic fields in forming the observed energy-dependent composition of ultrahigh-energy cosmic rays
• On the generation of UHECRs in GRBs: a reappraisal
• Luminosities and Space Densities of Short Gamma-Ray Bursts
• Constraining Lorentz violations with Gamma Ray Bursts
• On the Properties of the HI shells in the Small Magellanic CLoud
• Cosmic Physics: The High Energy Frontier
• The luminosity function of Swift long gamma-ray bursts
• Short gamma-ray bursts as a possible probe of binary neutron star mergers
• Can Gamma Ray Bursts Produce the Observed Cosmic Rays Above $10^{20}$ eV?
• Gamma ray bursts and the origin of galactic positrons
• Energetics of Gamma Ray Bursts
• Redshift distribution and luminosity function of long gamma-ray bursts from cosmological simulations
• On the spectrum of Ultrahigh Energy Cosmic Rays and the Gamma Ray Burst Origin Hypothesis
• Remnants from Gamma-Ray Bursts
• Constraints on Models for TeV Gamma Rays from Gamma-Ray Bursts
• Counts of high-redshift GRBs as probe of primordial non-Gaussianities
• A Multivariate Fit Luminosity Function and World Model for Long GRBs
• An Observational Limit on the Earliest GRBs
• A Self-Similar Solution for the Propagation of a Relativistic Shock in an Exponential Atmosphere
• GRBs and fundamental physics
• A White Dwarf Merger Paradigm for Supernovae and Gamma-Ray Bursts
• Can past gamma-ray bursts explain both INTEGRAL and ATIC/PAMELA/Fermi anomalies simultaneously?
• Research on the redshift evolution of luminosity function and selection effect of GRBs
• The GUSBAD Catalog of Gamma-Ray Bursts
• Cosmic gamma-ray bursts: observations and modeling
• Physical Limits of Different Models of Cosmic Gamma-Ray Bursts
• Emission from Bow Shocks of Beamed Gamma-Ray Bursts
• Comparing the birth rate of stellar black holes in binary black hole mergers and long GRBs
• GRBs luminosity function synthesized from \textit{Swift/BAT}, \textit{Fermi/GBM} and \textit{Konus-Wind} data
• High-energy neutrino emission from Gamma-Ray Bursts
• Cosmic connections: from cosmic rays to gamma rays, to cosmic backgrounds and magnetic fields
• Astrophysics at the Highest Energy Frontiers