Applications of de Sitter Causality Conditions

TL;DR

This paper derives explicit de Sitter shockwave solutions, analyzes the impact on the Penrose diagram, and explores causality conditions for particles with specific couplings, connecting results to anti de Sitter spacetime.

Contribution

It introduces explicit shockwave solutions in de Sitter space and proposes causality criteria, extending understanding of superluminalities and spacetime structure in higher dimensions.

Findings

Derived explicit de Sitter shockwave solutions in arbitrary dimensions.

Determined how shockwaves stretch the de Sitter Penrose diagram.

Analyzed causality conditions for particles with specific couplings.

Abstract

We find explicit de Sitter shockwave solutions in arbitrary spacetime dimensions. We use these to determine the dimensional-dependent "stretching" of the de Sitter Penrose diagram in the presence of a shock or black hole. This stretching sets the scale at which superluminalities in de Sitter can be considered resolvable. We then consider an RFF coupling for a spin-1 particle and a Gauss-Bonnet coupling for a spin-2 particle and analyze these in terms of our proposed de Sitter causality criteria. We briefly discuss the connections between our results and corresponding results in anti de Sitter spacetime.