# On Gravitational Casimir Effect and Stefan-Boltzmann Law at Finite Temperature

## TL;DR

This paper investigates the gravitational Casimir effect and Stefan-Boltzmann law at finite temperature within Teleparallel gravity, deriving an equation of state for gravitons using Thermo Field Dynamics formalism.

## Contribution

It introduces a novel approach to compute gravitational quantum effects at finite temperature in Teleparallel gravity, including an equation of state for gravitons.

## Key findings

- Derived temperature-dependent gravitational Casimir effect
- Calculated Stefan-Boltzmann law for gravitons
- Established an equation of state for gravitons

## Abstract

Gravitons are described by the propagator in Teleparallel gravity in nearly flat space-time. Finite temperature is introduced by using Thermo Field Dynamics formalism. The Gravitational Casimir effect and Stefan-Boltzmann law are calculated as a function of temperature. Then an equation of state for gravitons is determined.