2020/11/18 by W. S. Klën, C. Molina · 8 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Brane #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Dynamical systems theory #Geodesic #Geodesics in general relativity #Mathematical analysis #Mathematical physics #Mathematics #Null (SQL) #Physics #Quantum mechanics #Wormhole #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.102.104051
published in Physical review. D/Physical review. D. 102(10) (American Physical Society) · 15 pages, 5 figures
openalex publication_date 2020/11/18 · arxiv created 2020/11/20 · arxiv updated 2020/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this work, we present an extensive dynamical analysis of the null geodesics in the spacetimes proposed by Casadio, Fabbri, and Mazzacurati (CFM), which model black holes and wormholes in a Randall-Sundrum brane. Geodesic stability is evaluated by Lyapunov and Jacobi criteria, with coinciding results. Semistable photon spheres are found in the geometries of interest. Bifurcations associated with the dynamical system are also investigated, characterizing a degenerated Bogdanov-Takens bifurcation. Our results suggest deep connections between the geometric characteristics of the CFM spacetimes and the dynamics of null geodesics in these backgrounds.