Gravitino fields in Schwarzschild black hole spacetimes

TL;DR

This paper introduces a direct method using eigenspinor-vectors to analyze gravitino fields in Schwarzschild black hole spacetimes, deriving radial equations and calculating quasinormal modes and absorption probabilities.

Contribution

It presents a novel approach with eigenspinor-vectors for separating angular parts of gravitino fields, aligning with Newman-Penrose results and enabling new calculations.

Findings

Radial equations match Newman-Penrose formalism

Calculated gravitino quasinormal mode frequencies

Determined absorption probabilities for gravitino scattering

Abstract

The analysis of gravitino fields in curved spacetimes is usually carried out using the Newman-Penrose formalism. In this paper we consider a more direct approach with eigenspinor-vectors on spheres, to separate out the angular parts of the fields in a Schwarzschild background. The radial equations of the corresponding gauge invariant variable obtained are shown to be the same as in the Newman-Penrose formalism. These equations are then applied to the evaluation of the quasinormal mode frequencies, as well as the absorption probabilities of the gravitino field scattering in this background.