arXiv subjects
Publications and source records attributed to M. Olivares.
In this paper we show that the golden ratio is present in the Schwarzschild-Kottler metric. For null geodesics with maximal radial acceleration, the turning points of the orbits are in the golden ratio $Φ= (\sqrt{5}-1)/2$. This is a general result which is independent of the value and sign of the cosmological constant $Λ$.
In this work we address the study of movement of charged particles in the background of charged black holes with non-trivial asymptotic behavior. We compute the exact trajectories for massive-charged particles in term of elliptic Jacobi function. Finally we obtain a detailed description of orbits for Reissner-Nordström (Anti)-de Sitter black holes in terms of charge, mass and energy of the particles.