Gamma-Ray Bursts in $1.8<z<5.6$ Suggest that the Time Variation of the Dark Energy is Small

Abstract

We calibrated the peak energy-peak luminosity relation of GRBs (so called Yonetoku relation) using 33 events with the redshift $z<1.62$ without assuming any cosmological models. The luminosity distances to GRBs are estimated from those of large amount of Type Ia supernovae with $z<1.755$. This calibrated Yonetoku relation can be used as a new cosmic distance ladder toward higher redshifts. We determined the luminosity distances of 30 GRBs in $1.8<z<5.6$ using the calibrated relation and plotted the likelihood contour in $({\Omega }_m,{\Omega }_{\Lambda })$ plane. We obtained $({\Omega }_m,{\Omega }_{\Lambda })=(0.37_{-0.11}^{+0.14},0.63_{-0.14}^{+0.11})$ for a flat universe. Since our method is free from the circularity problem, we can say that our universe in $1.8<z<5.6$ is compatible with the so called concordance cosmological model derived for $z<1.8$. This suggests that the time variation of the dark energy is small or zero up to $z\sim 6$.

4 pages, 4 figures, accepted to MNRAS

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Cited by in corpus (4)

• Cosmological Constraints from calibrated Yonetoku and Amati relation implies Fundamental plane of Gamma-ray bursts
• Constraints on $w_0$ and $w_a$ of Dark Energy from High Redshift Gamma Ray Bursts
• Cosmology-Independent Distance Moduli of 42 Gamma-Ray Bursts between Redshift of 1.44 and 6.60
• Constraining scalar field dark energy with cosmological observations