Vacuum Non Singular Black Hole Solutions in Tetrad Theory of Gravitation

TL;DR

This paper derives a general spherically symmetric nonsingular black hole solution in tetrad theory of gravitation, characterized by an arbitrary function and constants, and explores its energy content and relation to previous solutions.

Contribution

It provides the first general solution for nonsingular black holes in tetrad theory, encompassing previous solutions as special cases.

Findings

The general solution includes an arbitrary function and two constants.

Energy content varies with the asymptotic behavior of the arbitrary function.

Previous solutions are verified as special cases of the general solution.

Abstract

Starting from a spherically symmetric tetrad with three unknown functions of the radial coordinate, a general solution of M{\o}ller's field equations in case of spherical symmetry nonsingular black hole is derived. The previously obtained solutions are verified as special cases of the general solution. The general solution is characterized by an arbitrary function and two constants of integration. The general solution gives no more than the spherically symmetric nonsingular black hole solution. The energy content of the general solution depends on the asymptotic behavior of the arbitrary function, and is different from the standard one.