Decay of charged fields in de Sitter spacetime

TL;DR

This paper investigates how charged scalar and spinor fields decay around Reissner-Nordstrom black holes in de Sitter spacetime by calculating quasinormal frequencies, considering various parameters and deriving an analytic formula in the eikonal approximation.

Contribution

It provides the first detailed analysis of charged field decay in de Sitter spacetime, including an analytic formula for quasinormal frequencies in the eikonal limit.

Findings

Decay rates depend on black hole charge, mass, and spacetime cosmological constant.

Analytic quasinormal frequency formula derived for large multipole numbers.

Influence of field charge and spin on decay characteristics analyzed.

Abstract

We study the decay of charged scalar and spinor fields around Reissner-Nordstrom black holes in de Sitter spacetime through calculations of quasinormal frequencies of the fields. The influence of the parameters of the black hole (charge, mass), of the decaying fields (charge, spin), and of the spacetime (cosmological constant) on the decay is analyzed. The analytic formula for calculation quasinormal frequencies for a large multipole number (eikonal approximation) is derived both for the spinor and scalar fieldss.