caa a22 4500 445387335 CHVBK 20180317143035.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s10714-010-1119-9 doi (NATIONALLICENCE)springer-10.1007/s10714-010-1119-9 Some peculiarities of motion of neutral and charged test particles in the field of a spherically symmetric charged object in general relativity [Elektronische Daten] [Valentin Gladush, Marina Galadgyi] We propose the method of investigation of radial motions for charged and neutral test particles in the Reissner-Nordström field by means of mass potential. In this context we analyze special features of interaction of charges and their motions in General Relativity and construct the radial motion classification. For test particles and a central source with charges q and Q, respectively, the conditions of attraction (when qQ>0) and repulsion (when qQ<0) are obtained. The conditions of motionless test particle states with respect to the central source are investigated and, in addition, stability conditions for such static equilibrium states are found. It is shown that stable states are possible only for the bound states of weakly charged particles in the field of a naked singularity. Frequencies of small oscillations of test particles near their equilibrium positions are also found. Springer Science+Business Media, LLC, 2011 Motions classification nationallicence Mass potential nationallicence Stability conditions nationallicence Gladush Valentin Dnepropetrovsk National University, 72, Gagarin Ave, 49010, Dnepropetrovsk, Ukraine aut Galadgyi Marina Dnepropetrovsk National University of Railway Transport, 2, Lazarian St., 49700, Dnepropetrovsk, Ukraine aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/5(2011-05-01), 1347-1363 0001-7701 43:5<1347 2011 43 10714 https://doi.org/10.1007/s10714-010-1119-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-010-1119-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gladush Valentin Dnepropetrovsk National University, 72, Gagarin Ave, 49010, Dnepropetrovsk, Ukraine aut NATIONALLICENCE 700 1- Galadgyi Marina Dnepropetrovsk National University of Railway Transport, 2, Lazarian St., 49700, Dnepropetrovsk, Ukraine aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/5(2011-05-01), 1347-1363 0001-7701 43:5<1347 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer