Phase-plane analysis of orbital motion in Schwarzschild-(anti-)de Sitter spacetimes
Abstract
We use dynamical systems methods to understand qualitative aspects of geodesic motion of a particle in the Schwarzschild-(anti-)de Sitter (S-(a)dS) spacetimes. We express the equations of motion in dimensionless, first-order form, and find that the types of motion are fully characterized by the number and nature of fixed points in the (σ,n) plane, where σ and n are dimensionless parameters that involving the orbital angular momentum (L) and the cosmological constant Λ, respectively. We study the phase portraits and their dependence on these parameters, and with these provide a complete classification of the possible motions in the S-(a)dS spacetimes.
Downloads
Published
Issue
Section
License
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.
