General Relativistic effect on the energy deposition rate for neutrino pair annihilation above the equatorial plane along the symmetry axis near a rotating neutron star

TL;DR

This paper calculates the energy deposition rate from neutrino pair annihilation near a rotating neutron star, considering relativistic effects and disk rotation, showing that increased rotation decreases the energy deposition.

Contribution

It provides a detailed relativistic calculation of neutrino energy deposition rates along the symmetry axis of a rotating neutron star using the CST metric, incorporating effects of disk rotation and gravitational redshift.

Findings

Energy deposition rate decreases with increasing stellar rotation.

Relativistic effects significantly influence neutrino trajectories and energy deposition.

Temperature variations along the disk impact the energy deposition rate.

Abstract

The estimate of the energy deposition rate (EDR) for neutrino pair annihilation has been carried out. The EDR for the neutrinos coming from the equatorial plane of a rotating neutron star is calculated along the rotation axis using the Cook-Shapiro-Teukolsky (CST) metric. The neutrino trajectories and hence the neutrino emitted from the disk is affected by the redshift due to disk rotation and gravitation. The EDR is very sensitive to the value of the temperature and its variation along the disk. The rotation of the star has a negative effect on the EDR; it decreases with increase in rotational velocity.