2016/01/31 by Antonio C. Gutiérrez-Piñeres, Abraão J. S. Capistrano, Hernando Quevedo · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Electromagnetic field #Gravitation #Gravitational field #Magnetic field #Mathematical analysis #Mathematics #Naked singularity #Observer (physics) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Singularity #Spacetime #Test particle #gr-qc
paper · pdf · doi:10.1103/physrevd.93.124009
published as Phys. Rev. D 93, 124009 (2016) · Updated version to match with the published version in Physical Review D
openalex publication_date 2016/06/03 · arxiv created 2016/06/04 · arxiv updated 2016/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A class of exact conformastatic solutions of the Einstein-Maxwell field equations is presented in which the gravitational and electromagnetic potentials are completely determined by a harmonic function. We derive the equations of motion for neutral and charged particles in a spacetime background characterized by this class of solutions. As an example, we focus on the analysis of a particular harmonic function, which generates a singularity-free and asymptotically flat spacetime that describes the gravitational field of a punctual mass endowed with a magnetic field. In this particular case, we investigate the main physical properties of equatorial circular orbits. We show that due to the electromagnetic interaction, it is possible to have charged test particles which stay at rest with respect to a static observer located at infinity. Additionally, we obtain an analytic expression for the perihelion advance of test particles and the corresponding explicit value in the case of a punctual magnetic mass. We show that the analytical expressions obtained from our analysis are sufficient for being confronted with observations in order to establish whether such objects can exist in nature.