Journal of Theoretical and Applied Physics (JTAP) Charged particles in curved space-time Volume 10, (2016) Issue 1, March and April 2016 2023 11 17 Charged particles in curved space-time 10.1007/s40094-015-0200-x EN Journal Article 2023 11 17 AbstractConsidering the dynamics of geometry and the matter fields, dynamical equations of geometry and the matter fields are re-derived. The solutions of these equations are studied. We focus on a charged particle and explain the axiomatic approach to drive the electromagnetic self-force on its motion, then the energy conservation is considered. A new mathematical concept, which is introduced in axiomatic approach in general, is discussed.