Constraining $Ω_M$ and Dark Energy with Gamma-Ray Bursts

Details Constraining $Ω_M$ and Dark Energy with Gamma-Ray Bursts Constraining $Ω_M$ and Dark Energy with Gamma-Ray Bursts

2004-07-23

arxiv.org/abs/astro-ph/0407497v2

Astrophys.J. 612 (2004) L101-L104

Astronomy and Astrophysics

Astrophysics

8 pages including 4 figures, to appear in ApJ Letters, typos corrected

Scientific paper

10.1086/424694

An $E_{\gamma,{\rm jet}}\propto {E'_p}^{1.5}$ relationship with a small scatter for current $\gamma$-ray burst (GRB) data was recently reported, where $E_{\gamma,{\rm jet}}$ is the beaming-corrected $\gamma$-ray energy and $E'_p$ is the $\nu F_\nu$ peak energy in the local observer frame. By considering this relationship for a sample of 12 GRBs with known redshift, peak energy, and break time of afterglow light curves, we constrain the mass density of the universe and the nature of dark energy. We find that the mass density $\Omega_M=0.35\pm^{0.15}_{0.15}$ (at the $1\sigma$ confident level) for a flat universe with a cosmological constant, and the $w$ parameter of an assumed static dark-energy equation of state $w=-0.84\pm^{0.57}_{0.83}$ ($1\sigma$). Our results are consistent with those from type Ia supernovae. A larger sample established by the upcoming {\em Swift} satellite is expected to provide further constraints.

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