Spherical Solutions due to the Exterior Geometry of a Charged Weyl Black Hole

TL;DR

This paper derives novel spherical solutions for charged Weyl black holes, explores their cosmological metrics, and analyzes particle dynamics around these objects through numerical effective potential studies.

Contribution

It introduces new analytical solutions for charged Weyl black holes and connects these to a novel geometric definition, advancing understanding of their properties.

Findings

Derived peculiar spherical Weyl solutions.

Presented new cosmological metric solutions.

Numerically analyzed particle effective potentials.

Abstract

Firstly we derive peculiar spherical Weyl solutions, using a general spherically symmetric metric due to a massive charged object with definite mass and radius. Afterwards, we present new analytical solutions for relevant cosmological terms, which appear in the metrics. Connecting the metrics to a new geometric definition of a charged Black Hole, we numerically investigate the effective potentials of the total dynamical system, considering massive and massless test particles, moving on such Black Holes.