Uniform Gravitational Field Environment for Classical Charged Particle

摘要

The equivalence between effects of gravitation and acceleration of referential, as stated by the Einstein strong Principle of Equivalence, imposes non trivial constraint between accelerated charged particle in inertial referential frame (R')and charged particle at rest in non inertial referential with gravitational field (R). Uniformly accelerated non inertial referential (equivalent to R) and inertial referential are connected by Rindler transformations of coordinates and, while they are not a well defined one to one mapping in a global meaning, they are useful to figure out effects of gravitation for local phenomena. The well known electromagnetic field with radiation component and a consequent radiation reaction force of accelerated charged particle seen by observer in inertial frame (R')can be transformed into a charged particle at rest in non inertial referential (R) with uniform gravitational field. External force plus additional one due to radiation reaction observed in the charged particle instantaneously at rest inertial referential must be equal to normal force that opposes gravitation to support charged particle at rest in gravitational field. So, while there is no radiation in the non inertial referential (R),the counterpart of radiation reaction force exists and can be interpreted as due to a small difference between inertial and gravitational mass. Rindler transformations impose horizon of events such that observer in uniform gravitational field can never see the electromagnetic radiation component because it evolves beyond this horizon of events and are out of mapping region. Image representations based in own Monte Carlo technique are used to show the mapping properties of Rindler transformations and to illustrate electromagnetic field configurations of uniformly accelerated charged particle evolving at hyperbolic motion as seen by inertial observer (R')as well as the electrostatic field of charged particle at rest in uniform gravitational field as seen by non inertial observer (R). Electromagnetic field of a free falling charged particle is also obtained.