Nariai spacetime: orbits, scalar self force and Poynting-Robertson-like external force

TL;DR

This paper explores the properties of Nariai spacetime, analyzing geodesics, scalar perturbations, and self-force effects, including external forces similar to Poynting-Robertson, to understand particle dynamics and field interactions.

Contribution

It provides new insights into scalar self-force calculations and external force effects in Nariai spacetime, extending previous studies of black hole analogs.

Findings

Explicit scalar self-force example derived

Analysis of geodesic and accelerated motions in Nariai spacetime

Investigation of external Poynting-Robertson-like forces

Abstract

After studying properties of the Nariai solution, including its geodesics, in spherical and de Sitter coordinates, two kinds of accelerated motion are investigated in detail: either observers at rest with respect to the coordinates, or observers in radial motion. Next, massless scalar perturbations of Nariai spacetime in absence of sources are worked out, and an explicit example out of the black hole context of analytic self-force calculation is obtained. Last, self-force effects are studied as well, together with some variant of the type of Poynting-Robertson external force, and also building a test electromagnetic field and a test gravitational field in Nariai spacetime geometry