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

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...

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Published inarXiv.org
Main Authors Santos, A F, Ulhoa, S C, Furtado, T F, Khanna, Faqir C
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 26.04.2021
Subjects
Acceleration
Gravitation
Mathematical analysis
Physics - General Relativity and Quantum Cosmology
Quantum theory
Relativity
Spacetime
Statistical mechanics
Stefan-Boltzmann law
Temperature effects
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2104.12633