Constraining the intrinsic energy of GRB events

TL;DR

This paper demonstrates that accounting for relativistic beaming in GRB events significantly reduces the estimated intrinsic energy, aligning it more closely with energies typical of AGN phenomena rather than stellar black hole formations.

Contribution

It introduces a method to constrain the intrinsic energy of GRBs by considering relativistic anisotropic emission, challenging previous isotropic energy estimates.

Findings

Intrinsic energies around 10^{44} ergs for Lorentz factor ~10

Intrinsic energies around 10^{38} ergs for Lorentz factor ~300

Results suggest GRB energies are more similar to AGN energies than to stellar black hole events

Abstract

Considering a GRB event as a relativistic ejecta where the relativistic moving makes radiation become anisotropic, we are able to show that the required intrinsic energy associated with these events is significantly smaller than those values commonly presented in literature for an isotropic distribution of emitted energy. Our results show energy values around $10^{44}$ ergs for Lorentz $\Gamma$ factor $\sim 10$ and around $10^{38}$ ergs for $\Gamma \sim 300$, values which are more compatible with energies involved in AGN events rather than those related to the formation of stellar black holes and hypernovas.