Thermodynamics of hot quantum scalar field in a (D+1) dimensional curved spacetime

TL;DR

This paper investigates the thermodynamics of a quantum scalar field in various curved spacetimes using the brick wall model, revealing entropy-area proportionality consistent with holographic principles.

Contribution

It applies the brick wall model to analyze quantum scalar field thermodynamics in multiple curved spacetimes, extending previous studies to new geometries.

Findings

Entropy proportional to horizon area in strong gravity

Thermodynamic properties match theoretical expectations

Consistent with holographic principle

Abstract

We use the brick wall model to calculate the free energy of quantum scalar field in a curved spacetime (D +1) dimensions. We find the thermodynamics properties of quantum scalar field in several scenaries: Minkowski spacetime, Schwarzschild spacetime and BTZ spacetime. For the cases analysed, the thermodynamical properties of quantum scalar field is exactly with the reported. It was found that the entropy of the gas is proportional to the horizon area in a gravity field strong, which is consistent with the holographic principle.