Electron-positron energy deposition rate from neutrino pair annihilation in the equatorial plane of rapidly rotating neutron and quark stars

TL;DR

This paper investigates how general relativistic effects, rotation, and matter equations of state influence neutrino-antineutrino annihilation energy deposition rates near rapidly rotating neutron and quark stars, with implications for astrophysical phenomena.

Contribution

It provides the first detailed analysis of energy and momentum deposition rates including relativistic corrections for various rotating compact star models.

Findings

Rotation and relativistic effects increase annihilation rates compared to Newtonian calculations.

Different equations of state significantly affect the spatial distribution of energy deposition.

Relativistic corrections are essential for accurate modeling of neutrino annihilation near compact stars.

Abstract

The neutrino-antineutrino annihilation into electron-positron pairs near the surface of compact general relativistic stars could play an important role in supernova explosions, neutron star collapse, or for close neutron star binaries near their last stable orbit. General relativistic effects increase the energy deposition rates due to the annihilation process. We investigate the deposition of energy and momentum due to the annihilations of neutrinos and antineutrinos in the equatorial plane of the rapidly rotating neutron and quark stars, respectively. We analyze the influence of general relativistic effects, and we obtain the general relativistic corrections to the energy and momentum deposition rates for arbitrary stationary and axisymmetric space-times. We obtain the energy and momentum deposition rates for several classes of rapidly rotating neutron stars, described by different equations of state of the neutron matter, and for quark stars, described by the MIT bag model equation of state and in the CFL (Color-Flavor-Locked) phase, respectively. Compared to the Newtonian calculations, rotation and general relativistic effects increase the total annihilation rate measured by an observer at infinity. The differences in the equations of state for neutron and quark matter also have important effects on the spatial distribution of the energy deposition rate by neutrino-antineutrino annihilation.