On the Temperature of Gravitation in the de Sitter Space-Time

TL;DR

This paper investigates the temperature effects of gravitation in de Sitter space-time using teleparallel gravity and Thermo Field Dynamics, deriving a gravitational Stefan-Boltzmann law, analyzing an Unruh-type effect, and exploring the Casimir effect transition.

Contribution

It introduces a novel approach to study gravitational temperature effects in de Sitter space-time within teleparallel gravity using TFD formalism, deriving new laws and effects.

Findings

Derived the gravitational Stefan-Boltzmann law.

Calculated the temperature of gravitation in de Sitter space.

Identified a transition between attractive and repulsive Casimir effects.

Abstract

The temperature associated with gravitation as presented in the Unruh effect and Hawking temperature serves to link different areas of physics, such as gravity, statistical mechanics, and quantum physics. In this paper, teleparallel gravity is considered to study temperature effects on the de Sitter space-time. The effects of temperature are introduced using the Thermo Field Dynamics (TFD) formalism. The gravitational Stefan-Boltzmann law is obtained. Then the temperature of gravitation in the de Sitter space-time is calculated. Here an Unruh-type effect is discussed. This effect relates the temperature and the acceleration of a particle in the de Sitter space-time. The gravitational Casimir effect is calculated. The result shows that there is a transition between an attractive and a repulsive Casimir effect.