Superposition of Weyl solutions: circular orbits
Donato Bini, Andrea Geralico
TL;DR
This paper investigates circular orbits in Weyl class static spacetimes, focusing on superpositions of gravitational fields from collinear matter distributions, analyzing geodesic motion and the effects of conical singularities.
Contribution
It provides a detailed analysis of circular geodesic conditions in superposed Weyl solutions, including multi-particle configurations with conical singularities.
Findings
Conditions for geodesic motion are derived.
Graphical summaries of orbital behavior are provided.
Effects of conical singularities on orbits are discussed.
Abstract
Circular orbits are examined in static spacetimes belonging to the Weyl class of vacuum solutions which represent (nonlinear) superposition of the gravitational fields generated by certain collinear distributions of matter. In particular, solutions representing two and three Chazy-Curzon particles - all of them endowed with conical singularities - are considered. Conditions for geodesic motion in certain symmetry planes are discussed and results are summarized in a number of graphics too. All the discussion is developed in the framework of observer-dependent analysis of motion.
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