Field propagation in de Sitter black holes

TL;DR

This paper analyzes scalar, electromagnetic, and gravitational perturbations in de Sitter black hole spacetimes using semi-analytical and numerical methods, providing a comprehensive understanding of field dynamics near extreme cosmological constants.

Contribution

It offers a unified analysis of different spin field perturbations in Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter spacetimes, combining multiple computational approaches.

Findings

Comparison of semi-analytical and numerical results near extreme regimes

Unified description of field dynamics across different spins

Analytical results for extreme cosmological constant cases

Abstract

We present an exhaustive analysis of scalar, electromagnetic and gravitational perturbations in the background of Schwarzchild-de Sitter and Reissner-Nordstrom-de Sitter spacetimes. The field propagation is considered by means of a semi-analytical (WKB) approach and two numerical schemes: the characteristic and general initial value integrations. The results are compared near the extreme cosmological constant regime, where analytical results are presented. A unifying picture is established for the dynamics of different spin fields.