An approach of the interior of a black hole type Schwarzschild

TL;DR

This paper models the internal properties of a Schwarzschild black hole by relating density and temperature to radius, deriving macroscopic quantities, and connecting the model with galactic rotation curves.

Contribution

It introduces a novel approach linking black hole internal properties with observational galactic rotation data, incorporating density and temperature functions.

Findings

Derived macroscopic quantities like heat capacity and surface gravity.

Obtained internal forces and potentials of the black hole.

Fitted galactic rotation curves with the model.

Abstract

Our goal in this paper is to explain the internal properties of the black hole by considering its density as a function of the reciprocal of its radius and the temperature as a function of the reciprocal of the density. We then set the temperature to the Hawking temperature. This gives all the macroscopic quantities of the black hole, such as heat capacity, pressure, surface gravity, and equation of state. In this work, we only consider a black hole with mass M , radius r+ and vacuum. Two internal forces and the corresponding potential are obtained. In addition, the potential of the vacuum, the potential of the black hole, the effective potential, the density of the vacuum and the effective density are obtained. A possible nexus of the model developed in this work with the observational data is also shown. The rotation curve of the galaxies around the clusters is shown, which fits the experimental curve.