Different Regular Black Holes: Geodesic Structures of Test Particles

TL;DR

This paper analyzes the geodesic structures of test particles around various regular black holes, deriving effective potentials and examining particle orbits to understand their dynamics and properties.

Contribution

It introduces a general formula for regular black hole metrics, enabling analysis of geodesics and effective potentials across different models with parameter variations.

Findings

Bound geodesics and orbit behaviors are characterized.

Precession and escape probabilities are analyzed.

A unified formula for regular black hole metrics is proposed.

Abstract

This paper investigates the metric of previously proposed regular black holes, calculates their effective potentials, and plots the curves of the effective potentials. By determining the conserved quantities, the dynamical equations for particles and photons near the black hole are derived. The analysis encompasses timelike and null geodesics in different spacetimes, including bound geodesics, unstable circular geodesics, stable circular geodesics, and escape geodesics. The findings are presented through figures and tables. Furthermore, the bound geodesics of the four regular black hole spacetimes are analyzed, examining the average distance of particle orbits from the center of the event horizon, the precession behavior of the perihelion, and the probability of particles appearing inside the outer event horizon during motion. Based on these analyses, a general formula is proposed, which yields the existing metrics when specific parameter values are chosen. The impact of parameter variations on the effective potential and geodesics is then computed using this new formula.