Entropy of Scalar Field near a Schwarzschild Black Hole Horizon
M R Setare
TL;DR
This paper calculates how the vacuum polarization of a massive scalar field affects the entropy of a Schwarzschild black hole, considering the field confined within a spherical shell with specific boundary conditions.
Contribution
It introduces a novel calculation of entropy correction due to scalar field vacuum polarization near a black hole horizon with boundary conditions.
Findings
Entropy correction quantified for scalar field vacuum polarization.
Boundary conditions influence the entropy correction.
Method applicable to similar black hole and field configurations.
Abstract
In this paper we compute the correction to the entropy of Schwarzschild black hole due to the vacuum polarization effect of massive scalar field. The Schwarzschild black hole is supposed to be confined in spherical shell. The scalar field obeying mixed boundary condition on the spherical shell.
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