Regular Article - Theoretical Physics
On the temperature of gravitation in the de Sitter space-time
Instituto de Física, Universidade Federal de Mato Grosso, 78060-900, Cuiabá, Mato Grosso, Brazil
2 International Center of Physics, Instituto de Física, Universidade de Brasília, 70910-900, Brasília, DF, Brazil
3 Canadian Quantum Research Center, 204-3002 32 Ave, V1T 2L7, Vernon, BC, Canada
4 Instituto de Física, Universidade de Brasília, 70910-900, Brasília, DF, Brazil
5 Department of Physics and Astronomy, University of Victoria, 3800 Finnerty Road, Victoria, BC, Canada
6 Physics Department, Theoretical Physics Institute, University of Alberta, Edmonton, AB, Canada
Accepted: 23 April 2021
Published online: 5 May 2021
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 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.
© The Author(s) 2021
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