Temperature at Horizon in de Sitter Spacetime

TL;DR

This paper investigates the thermal properties of the horizon in de Sitter spacetime, revealing that the horizon may have zero temperature and drawing analogies with Rindler horizons in Minkowski spacetime.

Contribution

It demonstrates that the horizon in de Sitter spacetime can have zero temperature and clarifies the thermal nature of horizons using Beltrami and static metrics.

Findings

No imaginary Beltrami-time period in de Sitter spacetime.

Surface gravity in de Sitter spacetime is zero.

Horizon temperature may be zero, similar to Rindler horizon.

Abstract

It is found that there is no period in the imaginary Beltrami-time of the de Sitter spacetime with Beltrami metric and that the `surface-gravity' in view of inertial observers in de Sitter spacetime is zero! They show that the horizon might be at zero temperature in de Sitter spacetime and that the thermal property of the horizon in the de Sitter spacetime with a static metric should be analogous to that of the Rindler horizon in Minkowski spacetime.