Electrostatic self-interaction of charged particles in the space-time of a cosmic string in the context of gravity's rainbow

Abstract

We analyze the electrostatic self-energy of a point like electrically charged particle induced by a cosmic string in the context of gravity's rainbow, as well the electrostatic self-force on this particle. The possibility of the solution associated with a charged particle to be altered by modifications in dispersion relations of the space-time is discussed. We show that the self-energy depends on the rainbow functions and that this quantity can either increase or decrease depending on the rainbow function chosen, as compared with analogous result in the framework of general relativity. With respect to the self-force, its dependence with the rainbow functions is also pointed out

References in corpus (3)

• Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity
• Constraints on rainbow gravity functions from black hole thermodynamics
• Casimir Effect in the Rainbow Einstein's Universe

Cited by in corpus (4)

• Quantum Configuration and Phase Spaces: Finsler and Hamilton Geometries
• Bound and Scattering States in a Spacetime with Dual Topological Defects: Cosmic String and Global Monopole
• Black hole solutions surrounded by anisotropic fluid in f(T,T) gravity
• Cornell and Coulomb potentials in the double defect spacetime