Geodesic Structure of the Noncommutative Schwarzschild Anti-de Sitter Black Hole I: Timelike Geodesics

TL;DR

This paper explores how space noncommutativity influences the geodesic structure of Schwarzschild-AdS black holes, revealing new particle motions and effects on perihelion precession.

Contribution

It introduces a detailed analysis of noncommutative effects on geodesics in Schwarzschild-AdS spacetime, highlighting novel particle trajectories.

Findings

Identification of new types of particle motion

Effects of noncommutativity on perihelion precession

Altered geodesic structures compared to classical Schwarzschild spacetime

Abstract

By considering particles as smeared objects, we investigate the effects of space noncommutativity on the geodesic structure in Schwarzschild-AdS spacetime. By means of a detailed analysis of the corresponding effective potentials for particles, we find the possible motions which are allowed by the energy levels. Radial and non-radial trajectories are treated and the effects of space noncommutativity on the value of the precession of the perihelion are estimated. We show that the geodesic structure of this black hole presents new types of motion not allowed by the Schwarzschild spacetime.