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Gutiérrez-Piñeres A.C. Capistrano A.J.S. Quevedo H. 2020-03-26T16:32:43Z 2020-03-26T16:32:43Z 2016 Physical Review D; Vol. 93, Núm. 12 24700010 https://hdl.handle.net/20.500.12585/8988 10.1103/PhysRevD.93.124009 Universidad Tecnológica de Bolívar Repositorio UTB 25225467000 26530767700 55989741100 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. © 2016 American Physical Society. Consejo Nacional de Ciencia y Tecnología: 166391 113514 This work was partially supported by DGAPA-UNAM, Grant No.113514, and Conacyt, Grant No.166391. Recurso electrónico application/pdf eng American Physical Society http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/restrictedAccess Atribución-NoComercial 4.0 Internacional https://www.scopus.com/inward/record.uri?eid=2-s2.0-84974625328&doi=10.1103%2fPhysRevD.93.124009&partnerID=40&md5=ad4a77bdf7acd7acd9c653029e948d71 Test particles in a magnetized conformastatic spacetime Artículo info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion González, G.A., Gutiérrez-Piñeres, A.C., Ospina, P.A., (2008) Phys. Rev. D, 78, p. 064058 Bally, J., Harrison, E., (1978) Astrophys. J., 220, p. 743 Uyaniker, B., Reich, W., Wielebinski, R., (2004) The Magnetized Interstellar Medium, , (Copernicus GmbH, Göttingen, Germany) Zamaninasab, M., Clausen-Brown, E., Savolainen, T., Tchekhovskoy, A., (2014) Nature (London), 510, p. 126 Han, J., (2012) Proc. Int. Astron. Union, 8, p. 213 Gutiérrez-Piñeres, A.C., (2015) Gen. Relativ. Gravit., 47, p. 54 Gutiérrez-Piñeres, A.C., Capistrano, A.J.S., (2015) Adv. Theor. Math. Phys., 2015, p. 916026 Gutiérrez-Piñeres, A.C., Lopez-Monsalvo, C.S., Quevedo, H., (2015) Gen. Relativ. Gravit., 47, p. 1 Synge, J., (1960) Relativity: The General Theory, , (North-Holland Publishing Co., Amsterdam) A. C. Gutiérrez-Piñeres and A. J. Capistrano, arXiv:1510.05400 Pugliese, D., Quevedo, H., Ruffini, R., (2011) Phys. Rev. D, 83, p. 104052 Pugliese, D., Quevedo, H., Ruffini, R., (2011) Phys. Rev. D, 83, p. 024021 Gutiérrez-Piñeres, A.C., González, G.A., Quevedo, H., (2013) Phys. Rev. D, 87, p. 044010 Stephani, H., Kramer, D., MacCallum, M., Hoenselaers, C., Herlt, E., (2009) Exact Solutions of Einstein's Field Equations, , (Cambridge University Press, Cambridge, England) Majumdar, S.D., (1947) Phys. Rev., 72, p. 390 Papapetrou, A., (1945) Proc. R. Irish Acad., Sect. A, 51, p. 191 http://purl.org/coar/access_right/c_16ec http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/version/c_970fb48d4fbd8a85 Publicationmetadata.only