Accelerated orbits in black hole fields: the static case

TL;DR

This paper investigates the dynamics of structured test particles in Schwarzschild spacetime, developing a formalism to characterize their non-geodesic orbits and analyzing their behavior in specific cases like circular orbits.

Contribution

It introduces a formalism based on Frenet-Serret parameters to describe non-geodesic orbits of structured particles in black hole fields, with detailed solutions and analysis.

Findings

Explicit solutions for non-geodesic orbits in Schwarzschild spacetime

Analysis of equilibrium conditions for circular orbits with structure

Discussion of measurement ambiguities in identifying particle structure

Abstract

We study non-geodesic orbits of test particles endowed with a structure, assuming the Schwarzschild spacetime as background. We develop a formalism which allows one to recognize the geometrical characterization of those orbits in terms of their Frenet-Serret parameters and apply it to explicit cases as those of spatially circular orbits which witness the equilibrium under conflicting types of interactions. In our general analysis we solve the equations of motion offering a detailed picture of the dynamics having in mind a check with a possible astronomical set up. We focus on certain ambiguities which plague the interpretation of the measurements preventing one from identifying the particular structure carried by the particle.