Effect of General Relativity and rotation on the energy deposition rate for $\nu + \bar{\nu} \to e^+ + e^- $ inside a compact star

TL;DR

This paper investigates how general relativity and rotation influence the energy deposition rate from neutrino-antineutrino annihilation inside a compact star, revealing that rotation significantly enhances the process, which is relevant for gamma-ray burst studies.

Contribution

It introduces a model incorporating GR effects and rotation to analyze energy deposition rates in compact stars, highlighting the impact of rotation on the efficiency of neutrino processes.

Findings

Rotation increases energy deposition rate by over an order of magnitude.

GR effects are significant in accurately modeling the process.

Dependence on star deformation parameter is discussed.

Abstract

We have studied the $\nu + \bar{\nu} \to e^+ + e^- $ energy deposition rate in a rotating compact star. This reaction is important for the study of gamma ray bursts. The General Relativistic (GR) effects on the energy deposition rate have been incorporated. We find that the efficiency of the process is larger for a rotating star. The total energy deposition rate increases by more than an order of magnitude due to rotation. The dependence of this energy deposition rate on the deformation parameter of the star has also been discussed.