Charged particles in curved space-time

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.

Photon decaying in de Sitter universe

“…By attention to that the experimental data it is clear that the our universe and early universe can be described by de Sitter (dS) space-time [10][11][12][13][14][15] so the construction of quantum field theory (QFT) in dS space-time is important for quantum gravity and unified theory. Some efforts have been made for constructing QFT in dS ambient space formalism in the last few years [16][17][18][19][20][21][22][23][24][25][26]. One of the advantages of ambient space formalism is the simplicity in calculations of probability amplitude because the action of dS group on ambient space coordinate is linear [22].…”