Accelerated orbits in black hole fields: the static case

DOI10.1088/0264-9381/28/22/225012zbMATH Open1230.83021arXiv1408.4949OpenAlexW2057545601WikidataQ62560822 ScholiaQ62560822MaRDI QIDQ3107412

Fernando de Felice, Andrea Geralico, Donato Bini

Publication date: 23 December 2011

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1408.4949

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Galactic and stellar dynamics (85A05) Equations of motion in general relativity and gravitational theory (83C10)