Accelerated frames in de Sitter spacetime

TL;DR

This paper introduces a new definition of accelerated frames in de Sitter spacetime that aligns with Rindler frames in flat space but faces challenges in physical interpretation due to its limit behavior.

Contribution

The authors propose a novel metric for accelerated frames in de Sitter space that generalizes the Rindler approach from flat spacetime.

Findings

The proposed metric recovers the Rindler metric in the flat limit.

The metric lacks a clear physical interpretation in the zero-acceleration limit.

Abstract

We propose a definition of the accelerated frames in de Sitter spacetime whose metric recovers the Rindler approach in the flat limit. Unfortunately, this metric has no a satisfactory limit for vanishing acceleration such that its physical meaning remains obscure.