On the MAPLE Routines for Discrete Symmetries Study on Curved Manifolds

Abstract

The aim of this paper is to offer a tool to study the discrete symmetries for gauge minimally coupled charged spinless field to curved space-time. In this order, is made an algebraic description of basic discrete symmetries as space reversal P, time reversal T charge conjugation and their combination. We extend a previous MAPLE package procedures set in order to study the influence of the particular C, P, and T discrete
transformation spinless field. In the last section, is proposed a simple method to find discrete symmetries of field differential equations. As an
example of the application of the methods, we consider the discrete symmetries transformation of C, P, and T kind for a particular Gödel.
Considering the Klein – Gordon – Maxwell – Einstein solutions, it is evaluated the electric current’s components and further the boson system electric charge.