Abstract
Considering 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.
Highlights
In considering the plasma around a neutron star, we encounter a charged gas in the curved space
We focus on a charged particle and explain the axiomatic approach to drive the electromagnetic self-force on its motion, the energy conservation is considered
First we describe the charge particle motion in the curved spacetime and discuss some of its complexities in Sect. 3, the electromagnetic self-force is discussed by axiomatic approach
Summary
In considering the plasma around a neutron star, we encounter a charged gas in the curved space. We focus on a charged particle and explain the axiomatic approach to drive the electromagnetic self-force on its motion, the energy conservation is considered. A new mathematical concept, which is introduced in axiomatic approach in general, is discussed. Keywords Charged particles motion Á Curved space Á Radiation
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