Absorption and quasinormal modes of classical fields propagating on 3D and 4D de Sitter spacetime

TL;DR

This paper derives exact solutions for massless and massive classical fields of various spins in 3D and 4D de Sitter spacetime, analyzing their absorption and quasinormal modes to deepen understanding of field behavior near cosmological horizons.

Contribution

It provides new exact solutions for classical fields in de Sitter spacetime and analyzes their absorption and quasinormal modes, extending previous work with detailed solutions.

Findings

Exact solutions for massless and massive fields of spins 1/2, 1, 2 in 3D and 4D de Sitter spacetime.

Analysis of absorption by the cosmological horizon.

Characterization of de Sitter quasinormal modes.

Abstract

We extensively study the exact solutions of the massless Dirac equation in 3D de Sitter spacetime that we published recently. Using the Newman-Penrose formalism, we find exact solutions of the equations of motion for the massless classical fields of spin s=1/2,1,2 and to the massive Dirac equation in 4D de Sitter metric. Employing these solutions, we analyze the absorption by the cosmological horizon and de Sitter quasinormal modes. We also comment on the results given by other authors.