Schwarzschild-like metric and a quantum vacuum

TL;DR

This paper introduces a Schwarzschild-like metric derived from a quantum vacuum modeled as a viscous fluid around a spherical mass, revealing modified horizon temperature and entropy compared to classical black hole solutions.

Contribution

It presents a novel solution incorporating quantum vacuum effects into the Schwarzschild metric, altering thermodynamic properties of black hole horizons.

Findings

Horizon temperature is doubled relative to Hawking temperature.

Horizon entropy is halved compared to Bekenstein entropy.

Metric components exhibit Schwarzschild-like behavior.

Abstract

A quantum vacuum, represented by a viscous fluid, is added to the Einstein vacuum, surrounding a spherical distribution of mass. This gives as a solution, in spherical coordinates, a Schwarzschild-like metric. The plot of g00 and g11 components of the metric, as a function of the radial coordinate, display the same qualitative behavior as that of the Schwarzschild metric. However, the temperature of the event horizon is equal to the Hawking temperature multiplied by a factor of two, while the entropy is equal to half of the Bekenstein one.