Twin Paradox in de Sitter Spacetime

TL;DR

This paper explores the twin paradox within de Sitter spacetime, analyzing the effects of cosmic expansion on accelerated travel and communication between observers in a relativistic universe.

Contribution

It extends the twin paradox analysis to curved spacetime, specifically de Sitter space, incorporating effects of universal expansion on accelerated motion and communication.

Findings

Uniform acceleration in de Sitter spacetime affects communication delays.

Cosmic expansion influences the twin paradox scenario at relativistic speeds.

The study provides a framework for understanding relativistic travel in an expanding universe.

Abstract

The "twin paradox" of special relativity offers the possibility to make interstellar flights within a lifetime. For very long journeys with velocities close to the speed of light, however, we have to take into account the expansion of the universe. Inspired by the work of Rindler on hyperbolic motion in curved spacetime, we study the worldline of a uniformly accelerated observer in de Sitter spacetime and the communication between the traveling observer and an observer at rest.